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Finding the Third Proportional to 67,941 and 99,913

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Solution

The third proportional to 67,941 and 99,913 is: 146,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 99,913 = 99,913 : x
  2. Step 2: Convert to fraction form
    67,941/99,913 = 99,913/x
  3. Step 3: Cross multiply
    67,941x = 99,913 × 99,913
  4. Step 4: Simplify right side
    67,941x = 9,982,607,569
  5. Step 5: Solve for x
    x = 9,982,607,569/67,941
  6. Step 6: Final answer
    x = 146,930.54

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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.