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Finding the Third Proportional to 34,057.13 and 70,542.56

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Solution

The third proportional to 34,057.13 and 70,542.56 is: 146,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,057.13 : 70,542.56 = 70,542.56 : x
  2. Step 2: Convert to fraction form
    34,057.13/70,542.56 = 70,542.56/x
  3. Step 3: Cross multiply
    34,057.13x = 70,542.56 × 70,542.56
  4. Step 4: Simplify right side
    34,057.13x = 4,976,253,124.07
  5. Step 5: Solve for x
    x = 4,976,253,124.07/34,057.13
  6. Step 6: Final answer
    x = 146,114.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.