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Finding the Third Proportional to 42,708 and 65,988

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Solution

The third proportional to 42,708 and 65,988 is: 101,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708 : 65,988 = 65,988 : x
  2. Step 2: Convert to fraction form
    42,708/65,988 = 65,988/x
  3. Step 3: Cross multiply
    42,708x = 65,988 × 65,988
  4. Step 4: Simplify right side
    42,708x = 4,354,416,144
  5. Step 5: Solve for x
    x = 4,354,416,144/42,708
  6. Step 6: Final answer
    x = 101,957.86

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