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Finding the Third Proportional to 65,882 and 142,060

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Solution

The third proportional to 65,882 and 142,060 is: 306,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882 : 142,060 = 142,060 : x
  2. Step 2: Convert to fraction form
    65,882/142,060 = 142,060/x
  3. Step 3: Cross multiply
    65,882x = 142,060 × 142,060
  4. Step 4: Simplify right side
    65,882x = 20,181,043,600
  5. Step 5: Solve for x
    x = 20,181,043,600/65,882
  6. Step 6: Final answer
    x = 306,321.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.