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Finding the Third Proportional to 67,614 and 97,932

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Solution

The third proportional to 67,614 and 97,932 is: 141,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,614 : 97,932 = 97,932 : x
  2. Step 2: Convert to fraction form
    67,614/97,932 = 97,932/x
  3. Step 3: Cross multiply
    67,614x = 97,932 × 97,932
  4. Step 4: Simplify right side
    67,614x = 9,590,676,624
  5. Step 5: Solve for x
    x = 9,590,676,624/67,614
  6. Step 6: Final answer
    x = 141,844.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.