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Finding the Third Proportional to 84,976.91 and 115,001.17

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Solution

The third proportional to 84,976.91 and 115,001.17 is: 155,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,976.91 : 115,001.17 = 115,001.17 : x
  2. Step 2: Convert to fraction form
    84,976.91/115,001.17 = 115,001.17/x
  3. Step 3: Cross multiply
    84,976.91x = 115,001.17 × 115,001.17
  4. Step 4: Simplify right side
    84,976.91x = 13,225,269,981.85
  5. Step 5: Solve for x
    x = 13,225,269,981.85/84,976.91
  6. Step 6: Final answer
    x = 155,633.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.