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Finding the Third Proportional to 84,290 and 113,107

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Solution

The third proportional to 84,290 and 113,107 is: 151,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290 : 113,107 = 113,107 : x
  2. Step 2: Convert to fraction form
    84,290/113,107 = 113,107/x
  3. Step 3: Cross multiply
    84,290x = 113,107 × 113,107
  4. Step 4: Simplify right side
    84,290x = 12,793,193,449
  5. Step 5: Solve for x
    x = 12,793,193,449/84,290
  6. Step 6: Final answer
    x = 151,775.93

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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.