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Finding the Third Proportional to 112,159.50 and 172,396.75

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Solution

The third proportional to 112,159.50 and 172,396.75 is: 264,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,159.50 : 172,396.75 = 172,396.75 : x
  2. Step 2: Convert to fraction form
    112,159.50/172,396.75 = 172,396.75/x
  3. Step 3: Cross multiply
    112,159.50x = 172,396.75 × 172,396.75
  4. Step 4: Simplify right side
    112,159.50x = 29,720,639,410.56
  5. Step 5: Solve for x
    x = 29,720,639,410.56/112,159.50
  6. Step 6: Final answer
    x = 264,985.48

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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.