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Finding the Third Proportional to 69,481.13 and 141,422.63

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Solution

The third proportional to 69,481.13 and 141,422.63 is: 287,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,481.13 : 141,422.63 = 141,422.63 : x
  2. Step 2: Convert to fraction form
    69,481.13/141,422.63 = 141,422.63/x
  3. Step 3: Cross multiply
    69,481.13x = 141,422.63 × 141,422.63
  4. Step 4: Simplify right side
    69,481.13x = 20,000,358,861.89
  5. Step 5: Solve for x
    x = 20,000,358,861.89/69,481.13
  6. Step 6: Final answer
    x = 287,853.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.