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Finding the Third Proportional to 83,478 and 125,253

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Solution

The third proportional to 83,478 and 125,253 is: 187,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478 : 125,253 = 125,253 : x
  2. Step 2: Convert to fraction form
    83,478/125,253 = 125,253/x
  3. Step 3: Cross multiply
    83,478x = 125,253 × 125,253
  4. Step 4: Simplify right side
    83,478x = 15,688,314,009
  5. Step 5: Solve for x
    x = 15,688,314,009/83,478
  6. Step 6: Final answer
    x = 187,933.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.