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Finding the Third Proportional to 54,691.88 and 84,371.13

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Solution

The third proportional to 54,691.88 and 84,371.13 is: 130,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.88 : 84,371.13 = 84,371.13 : x
  2. Step 2: Convert to fraction form
    54,691.88/84,371.13 = 84,371.13/x
  3. Step 3: Cross multiply
    54,691.88x = 84,371.13 × 84,371.13
  4. Step 4: Simplify right side
    54,691.88x = 7,118,486,733.77
  5. Step 5: Solve for x
    x = 7,118,486,733.77/54,691.88
  6. Step 6: Final answer
    x = 130,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.