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Finding the Third Proportional to 61,668 and 91,632

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Solution

The third proportional to 61,668 and 91,632 is: 136,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 91,632 = 91,632 : x
  2. Step 2: Convert to fraction form
    61,668/91,632 = 91,632/x
  3. Step 3: Cross multiply
    61,668x = 91,632 × 91,632
  4. Step 4: Simplify right side
    61,668x = 8,396,423,424
  5. Step 5: Solve for x
    x = 8,396,423,424/61,668
  6. Step 6: Final answer
    x = 136,155.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.