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Finding the Third Proportional to 112,225.50 and 172,489.50

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Solution

The third proportional to 112,225.50 and 172,489.50 is: 265,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,225.50 : 172,489.50 = 172,489.50 : x
  2. Step 2: Convert to fraction form
    112,225.50/172,489.50 = 172,489.50/x
  3. Step 3: Cross multiply
    112,225.50x = 172,489.50 × 172,489.50
  4. Step 4: Simplify right side
    112,225.50x = 29,752,627,610.25
  5. Step 5: Solve for x
    x = 29,752,627,610.25/112,225.50
  6. Step 6: Final answer
    x = 265,114.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.