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Finding the Third Proportional to 67,857 and 99,757

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Solution

The third proportional to 67,857 and 99,757 is: 146,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857 : 99,757 = 99,757 : x
  2. Step 2: Convert to fraction form
    67,857/99,757 = 99,757/x
  3. Step 3: Cross multiply
    67,857x = 99,757 × 99,757
  4. Step 4: Simplify right side
    67,857x = 9,951,459,049
  5. Step 5: Solve for x
    x = 9,951,459,049/67,857
  6. Step 6: Final answer
    x = 146,653.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.