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Finding the Third Proportional to 43,708 and 95,758

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Solution

The third proportional to 43,708 and 95,758 is: 209,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,708 : 95,758 = 95,758 : x
  2. Step 2: Convert to fraction form
    43,708/95,758 = 95,758/x
  3. Step 3: Cross multiply
    43,708x = 95,758 × 95,758
  4. Step 4: Simplify right side
    43,708x = 9,169,594,564
  5. Step 5: Solve for x
    x = 9,169,594,564/43,708
  6. Step 6: Final answer
    x = 209,792.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.