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Finding the Third Proportional to 82,098.56 and 124,804.13

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Solution

The third proportional to 82,098.56 and 124,804.13 is: 189,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098.56 : 124,804.13 = 124,804.13 : x
  2. Step 2: Convert to fraction form
    82,098.56/124,804.13 = 124,804.13/x
  3. Step 3: Cross multiply
    82,098.56x = 124,804.13 × 124,804.13
  4. Step 4: Simplify right side
    82,098.56x = 15,576,069,617.02
  5. Step 5: Solve for x
    x = 15,576,069,617.02/82,098.56
  6. Step 6: Final answer
    x = 189,724.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.