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Finding the Third Proportional to 124,516 and 186,902

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Solution

The third proportional to 124,516 and 186,902 is: 280,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,516 : 186,902 = 186,902 : x
  2. Step 2: Convert to fraction form
    124,516/186,902 = 186,902/x
  3. Step 3: Cross multiply
    124,516x = 186,902 × 186,902
  4. Step 4: Simplify right side
    124,516x = 34,932,357,604
  5. Step 5: Solve for x
    x = 34,932,357,604/124,516
  6. Step 6: Final answer
    x = 280,545.13

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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.