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Finding the Third Proportional to 54,882.56 and 82,756.13

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Solution

The third proportional to 54,882.56 and 82,756.13 is: 124,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.56 : 82,756.13 = 82,756.13 : x
  2. Step 2: Convert to fraction form
    54,882.56/82,756.13 = 82,756.13/x
  3. Step 3: Cross multiply
    54,882.56x = 82,756.13 × 82,756.13
  4. Step 4: Simplify right side
    54,882.56x = 6,848,576,225.02
  5. Step 5: Solve for x
    x = 6,848,576,225.02/54,882.56
  6. Step 6: Final answer
    x = 124,786.01

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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.