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Finding the Third Proportional to 60,371 and 91,559

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Solution

The third proportional to 60,371 and 91,559 is: 138,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,371 : 91,559 = 91,559 : x
  2. Step 2: Convert to fraction form
    60,371/91,559 = 91,559/x
  3. Step 3: Cross multiply
    60,371x = 91,559 × 91,559
  4. Step 4: Simplify right side
    60,371x = 8,383,050,481
  5. Step 5: Solve for x
    x = 8,383,050,481/60,371
  6. Step 6: Final answer
    x = 138,858.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.