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Finding the Third Proportional to 115,599.66 and 172,929.52

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Solution

The third proportional to 115,599.66 and 172,929.52 is: 258,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,599.66 : 172,929.52 = 172,929.52 : x
  2. Step 2: Convert to fraction form
    115,599.66/172,929.52 = 172,929.52/x
  3. Step 3: Cross multiply
    115,599.66x = 172,929.52 × 172,929.52
  4. Step 4: Simplify right side
    115,599.66x = 29,904,617,374.30
  5. Step 5: Solve for x
    x = 29,904,617,374.30/115,599.66
  6. Step 6: Final answer
    x = 258,691.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.