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Finding the Third Proportional to 84,767.13 and 115,120.30

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Solution

The third proportional to 84,767.13 and 115,120.30 is: 156,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,767.13 : 115,120.30 = 115,120.30 : x
  2. Step 2: Convert to fraction form
    84,767.13/115,120.30 = 115,120.30/x
  3. Step 3: Cross multiply
    84,767.13x = 115,120.30 × 115,120.30
  4. Step 4: Simplify right side
    84,767.13x = 13,252,683,651.97
  5. Step 5: Solve for x
    x = 13,252,683,651.97/84,767.13
  6. Step 6: Final answer
    x = 156,342.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.