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Finding the Third Proportional to 88,138.13 and 131,878.13

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Solution

The third proportional to 88,138.13 and 131,878.13 is: 197,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,138.13 : 131,878.13 = 131,878.13 : x
  2. Step 2: Convert to fraction form
    88,138.13/131,878.13 = 131,878.13/x
  3. Step 3: Cross multiply
    88,138.13x = 131,878.13 × 131,878.13
  4. Step 4: Simplify right side
    88,138.13x = 17,391,839,853.52
  5. Step 5: Solve for x
    x = 17,391,839,853.52/88,138.13
  6. Step 6: Final answer
    x = 197,324.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.