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Finding the Third Proportional to 89,434 and 125,352

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Solution

The third proportional to 89,434 and 125,352 is: 175,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,434 : 125,352 = 125,352 : x
  2. Step 2: Convert to fraction form
    89,434/125,352 = 125,352/x
  3. Step 3: Cross multiply
    89,434x = 125,352 × 125,352
  4. Step 4: Simplify right side
    89,434x = 15,713,123,904
  5. Step 5: Solve for x
    x = 15,713,123,904/89,434
  6. Step 6: Final answer
    x = 175,695.19

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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.