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Finding the Third Proportional to 89,100 and 125,361

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Solution

The third proportional to 89,100 and 125,361 is: 176,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,100 : 125,361 = 125,361 : x
  2. Step 2: Convert to fraction form
    89,100/125,361 = 125,361/x
  3. Step 3: Cross multiply
    89,100x = 125,361 × 125,361
  4. Step 4: Simplify right side
    89,100x = 15,715,380,321
  5. Step 5: Solve for x
    x = 15,715,380,321/89,100
  6. Step 6: Final answer
    x = 176,379.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.