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Finding the Third Proportional to 84,292 and 113,110

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Solution

The third proportional to 84,292 and 113,110 is: 151,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292 : 113,110 = 113,110 : x
  2. Step 2: Convert to fraction form
    84,292/113,110 = 113,110/x
  3. Step 3: Cross multiply
    84,292x = 113,110 × 113,110
  4. Step 4: Simplify right side
    84,292x = 12,793,872,100
  5. Step 5: Solve for x
    x = 12,793,872,100/84,292
  6. Step 6: Final answer
    x = 151,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.