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Finding the Third Proportional to 59,642 and 91,374

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Solution

The third proportional to 59,642 and 91,374 is: 139,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642 : 91,374 = 91,374 : x
  2. Step 2: Convert to fraction form
    59,642/91,374 = 91,374/x
  3. Step 3: Cross multiply
    59,642x = 91,374 × 91,374
  4. Step 4: Simplify right side
    59,642x = 8,349,207,876
  5. Step 5: Solve for x
    x = 8,349,207,876/59,642
  6. Step 6: Final answer
    x = 139,988.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.