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Finding the Third Proportional to 62,864 and 96,484

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Solution

The third proportional to 62,864 and 96,484 is: 148,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,864 : 96,484 = 96,484 : x
  2. Step 2: Convert to fraction form
    62,864/96,484 = 96,484/x
  3. Step 3: Cross multiply
    62,864x = 96,484 × 96,484
  4. Step 4: Simplify right side
    62,864x = 9,309,162,256
  5. Step 5: Solve for x
    x = 9,309,162,256/62,864
  6. Step 6: Final answer
    x = 148,084.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.