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Finding the Third Proportional to 67,871 and 99,829

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Solution

The third proportional to 67,871 and 99,829 is: 146,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,871 : 99,829 = 99,829 : x
  2. Step 2: Convert to fraction form
    67,871/99,829 = 99,829/x
  3. Step 3: Cross multiply
    67,871x = 99,829 × 99,829
  4. Step 4: Simplify right side
    67,871x = 9,965,829,241
  5. Step 5: Solve for x
    x = 9,965,829,241/67,871
  6. Step 6: Final answer
    x = 146,834.87

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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.