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Finding the Third Proportional to 62,432 and 137,590

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Solution

The third proportional to 62,432 and 137,590 is: 303,226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,432 : 137,590 = 137,590 : x
  2. Step 2: Convert to fraction form
    62,432/137,590 = 137,590/x
  3. Step 3: Cross multiply
    62,432x = 137,590 × 137,590
  4. Step 4: Simplify right side
    62,432x = 18,931,008,100
  5. Step 5: Solve for x
    x = 18,931,008,100/62,432
  6. Step 6: Final answer
    x = 303,226.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.