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Finding the Third Proportional to 89,522 and 125,493

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Solution

The third proportional to 89,522 and 125,493 is: 175,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,522 : 125,493 = 125,493 : x
  2. Step 2: Convert to fraction form
    89,522/125,493 = 125,493/x
  3. Step 3: Cross multiply
    89,522x = 125,493 × 125,493
  4. Step 4: Simplify right side
    89,522x = 15,748,493,049
  5. Step 5: Solve for x
    x = 15,748,493,049/89,522
  6. Step 6: Final answer
    x = 175,917.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.