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Finding the Third Proportional to 89,516 and 125,478

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Solution

The third proportional to 89,516 and 125,478 is: 175,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,516 : 125,478 = 125,478 : x
  2. Step 2: Convert to fraction form
    89,516/125,478 = 125,478/x
  3. Step 3: Cross multiply
    89,516x = 125,478 × 125,478
  4. Step 4: Simplify right side
    89,516x = 15,744,728,484
  5. Step 5: Solve for x
    x = 15,744,728,484/89,516
  6. Step 6: Final answer
    x = 175,887.31

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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.