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Finding the Third Proportional to 127,124.50 and 172,651

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Solution

The third proportional to 127,124.50 and 172,651 is: 234,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,124.50 : 172,651 = 172,651 : x
  2. Step 2: Convert to fraction form
    127,124.50/172,651 = 172,651/x
  3. Step 3: Cross multiply
    127,124.50x = 172,651 × 172,651
  4. Step 4: Simplify right side
    127,124.50x = 29,808,367,801
  5. Step 5: Solve for x
    x = 29,808,367,801/127,124.50
  6. Step 6: Final answer
    x = 234,481.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.