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Finding the Third Proportional to 60,226.31 and 129,702.38

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Solution

The third proportional to 60,226.31 and 129,702.38 is: 279,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,226.31 : 129,702.38 = 129,702.38 : x
  2. Step 2: Convert to fraction form
    60,226.31/129,702.38 = 129,702.38/x
  3. Step 3: Cross multiply
    60,226.31x = 129,702.38 × 129,702.38
  4. Step 4: Simplify right side
    60,226.31x = 16,822,706,080.64
  5. Step 5: Solve for x
    x = 16,822,706,080.64/60,226.31
  6. Step 6: Final answer
    x = 279,324.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.