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Finding the Third Proportional to 89,450 and 125,373

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Solution

The third proportional to 89,450 and 125,373 is: 175,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,450 : 125,373 = 125,373 : x
  2. Step 2: Convert to fraction form
    89,450/125,373 = 125,373/x
  3. Step 3: Cross multiply
    89,450x = 125,373 × 125,373
  4. Step 4: Simplify right side
    89,450x = 15,718,389,129
  5. Step 5: Solve for x
    x = 15,718,389,129/89,450
  6. Step 6: Final answer
    x = 175,722.63

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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.