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Finding the Third Proportional to 54,012.66 and 81,765.28

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Solution

The third proportional to 54,012.66 and 81,765.28 is: 123,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,012.66 : 81,765.28 = 81,765.28 : x
  2. Step 2: Convert to fraction form
    54,012.66/81,765.28 = 81,765.28/x
  3. Step 3: Cross multiply
    54,012.66x = 81,765.28 × 81,765.28
  4. Step 4: Simplify right side
    54,012.66x = 6,685,561,217.89
  5. Step 5: Solve for x
    x = 6,685,561,217.89/54,012.66
  6. Step 6: Final answer
    x = 123,777.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.