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Finding the Third Proportional to 42,614 and 66,701

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Solution

The third proportional to 42,614 and 66,701 is: 104,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614 : 66,701 = 66,701 : x
  2. Step 2: Convert to fraction form
    42,614/66,701 = 66,701/x
  3. Step 3: Cross multiply
    42,614x = 66,701 × 66,701
  4. Step 4: Simplify right side
    42,614x = 4,449,023,401
  5. Step 5: Solve for x
    x = 4,449,023,401/42,614
  6. Step 6: Final answer
    x = 104,402.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.