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Finding the Third Proportional to 89,492 and 125,422

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Solution

The third proportional to 89,492 and 125,422 is: 175,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,492 : 125,422 = 125,422 : x
  2. Step 2: Convert to fraction form
    89,492/125,422 = 125,422/x
  3. Step 3: Cross multiply
    89,492x = 125,422 × 125,422
  4. Step 4: Simplify right side
    89,492x = 15,730,678,084
  5. Step 5: Solve for x
    x = 15,730,678,084/89,492
  6. Step 6: Final answer
    x = 175,777.48

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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.