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Finding the Third Proportional to 62,371 and 95,862

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Solution

The third proportional to 62,371 and 95,862 is: 147,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,371 : 95,862 = 95,862 : x
  2. Step 2: Convert to fraction form
    62,371/95,862 = 95,862/x
  3. Step 3: Cross multiply
    62,371x = 95,862 × 95,862
  4. Step 4: Simplify right side
    62,371x = 9,189,523,044
  5. Step 5: Solve for x
    x = 9,189,523,044/62,371
  6. Step 6: Final answer
    x = 147,336.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.