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Finding the Third Proportional to 56,926.13 and 83,542.78

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Solution

The third proportional to 56,926.13 and 83,542.78 is: 122,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,926.13 : 83,542.78 = 83,542.78 : x
  2. Step 2: Convert to fraction form
    56,926.13/83,542.78 = 83,542.78/x
  3. Step 3: Cross multiply
    56,926.13x = 83,542.78 × 83,542.78
  4. Step 4: Simplify right side
    56,926.13x = 6,979,396,298.99
  5. Step 5: Solve for x
    x = 6,979,396,298.99/56,926.13
  6. Step 6: Final answer
    x = 122,604.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.