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Finding the Third Proportional to 60,438 and 142,706

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Solution

The third proportional to 60,438 and 142,706 is: 336,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,438 : 142,706 = 142,706 : x
  2. Step 2: Convert to fraction form
    60,438/142,706 = 142,706/x
  3. Step 3: Cross multiply
    60,438x = 142,706 × 142,706
  4. Step 4: Simplify right side
    60,438x = 20,365,002,436
  5. Step 5: Solve for x
    x = 20,365,002,436/60,438
  6. Step 6: Final answer
    x = 336,956.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.