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Finding the Third Proportional to 61,414.88 and 130,211.25

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Solution

The third proportional to 61,414.88 and 130,211.25 is: 276,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414.88 : 130,211.25 = 130,211.25 : x
  2. Step 2: Convert to fraction form
    61,414.88/130,211.25 = 130,211.25/x
  3. Step 3: Cross multiply
    61,414.88x = 130,211.25 × 130,211.25
  4. Step 4: Simplify right side
    61,414.88x = 16,954,969,626.56
  5. Step 5: Solve for x
    x = 16,954,969,626.56/61,414.88
  6. Step 6: Final answer
    x = 276,072.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.