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Finding the Third Proportional to 130,042.13 and 281,022.75

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Solution

The third proportional to 130,042.13 and 281,022.75 is: 607,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,042.13 : 281,022.75 = 281,022.75 : x
  2. Step 2: Convert to fraction form
    130,042.13/281,022.75 = 281,022.75/x
  3. Step 3: Cross multiply
    130,042.13x = 281,022.75 × 281,022.75
  4. Step 4: Simplify right side
    130,042.13x = 78,973,786,017.56
  5. Step 5: Solve for x
    x = 78,973,786,017.56/130,042.13
  6. Step 6: Final answer
    x = 607,293.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.