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Finding the Third Proportional to 124,717.50 and 272,763

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Solution

The third proportional to 124,717.50 and 272,763 is: 596,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,717.50 : 272,763 = 272,763 : x
  2. Step 2: Convert to fraction form
    124,717.50/272,763 = 272,763/x
  3. Step 3: Cross multiply
    124,717.50x = 272,763 × 272,763
  4. Step 4: Simplify right side
    124,717.50x = 74,399,654,169
  5. Step 5: Solve for x
    x = 74,399,654,169/124,717.50
  6. Step 6: Final answer
    x = 596,545.43

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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.