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Finding the Third Proportional to 67,691 and 146,681

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Solution

The third proportional to 67,691 and 146,681 is: 317,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,691 : 146,681 = 146,681 : x
  2. Step 2: Convert to fraction form
    67,691/146,681 = 146,681/x
  3. Step 3: Cross multiply
    67,691x = 146,681 × 146,681
  4. Step 4: Simplify right side
    67,691x = 21,515,315,761
  5. Step 5: Solve for x
    x = 21,515,315,761/67,691
  6. Step 6: Final answer
    x = 317,846.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.