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Finding the Third Proportional to 124,711.50 and 272,751

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Solution

The third proportional to 124,711.50 and 272,751 is: 596,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,711.50 : 272,751 = 272,751 : x
  2. Step 2: Convert to fraction form
    124,711.50/272,751 = 272,751/x
  3. Step 3: Cross multiply
    124,711.50x = 272,751 × 272,751
  4. Step 4: Simplify right side
    124,711.50x = 74,393,108,001
  5. Step 5: Solve for x
    x = 74,393,108,001/124,711.50
  6. Step 6: Final answer
    x = 596,521.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.