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Finding the Third Proportional to 112,221 and 172,480.50

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Solution

The third proportional to 112,221 and 172,480.50 is: 265,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,221 : 172,480.50 = 172,480.50 : x
  2. Step 2: Convert to fraction form
    112,221/172,480.50 = 172,480.50/x
  3. Step 3: Cross multiply
    112,221x = 172,480.50 × 172,480.50
  4. Step 4: Simplify right side
    112,221x = 29,749,522,880.25
  5. Step 5: Solve for x
    x = 29,749,522,880.25/112,221
  6. Step 6: Final answer
    x = 265,097.65

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