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Finding the Third Proportional to 69,542 and 142,389

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Solution

The third proportional to 69,542 and 142,389 is: 291,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542 : 142,389 = 142,389 : x
  2. Step 2: Convert to fraction form
    69,542/142,389 = 142,389/x
  3. Step 3: Cross multiply
    69,542x = 142,389 × 142,389
  4. Step 4: Simplify right side
    69,542x = 20,274,627,321
  5. Step 5: Solve for x
    x = 20,274,627,321/69,542
  6. Step 6: Final answer
    x = 291,545.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.