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Finding the Third Proportional to 71,714 and 95,784

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Solution

The third proportional to 71,714 and 95,784 is: 127,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714 : 95,784 = 95,784 : x
  2. Step 2: Convert to fraction form
    71,714/95,784 = 95,784/x
  3. Step 3: Cross multiply
    71,714x = 95,784 × 95,784
  4. Step 4: Simplify right side
    71,714x = 9,174,574,656
  5. Step 5: Solve for x
    x = 9,174,574,656/71,714
  6. Step 6: Final answer
    x = 127,932.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.