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Finding the Third Proportional to 62,008 and 96,251

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Solution

The third proportional to 62,008 and 96,251 is: 149,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,008 : 96,251 = 96,251 : x
  2. Step 2: Convert to fraction form
    62,008/96,251 = 96,251/x
  3. Step 3: Cross multiply
    62,008x = 96,251 × 96,251
  4. Step 4: Simplify right side
    62,008x = 9,264,255,001
  5. Step 5: Solve for x
    x = 9,264,255,001/62,008
  6. Step 6: Final answer
    x = 149,404.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.