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Finding the Third Proportional to 62,260 and 96,565

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Solution

The third proportional to 62,260 and 96,565 is: 149,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,260 : 96,565 = 96,565 : x
  2. Step 2: Convert to fraction form
    62,260/96,565 = 96,565/x
  3. Step 3: Cross multiply
    62,260x = 96,565 × 96,565
  4. Step 4: Simplify right side
    62,260x = 9,324,799,225
  5. Step 5: Solve for x
    x = 9,324,799,225/62,260
  6. Step 6: Final answer
    x = 149,771.91

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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.