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Finding the Third Proportional to 82,247.91 and 123,979.36

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Solution

The third proportional to 82,247.91 and 123,979.36 is: 186,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247.91 : 123,979.36 = 123,979.36 : x
  2. Step 2: Convert to fraction form
    82,247.91/123,979.36 = 123,979.36/x
  3. Step 3: Cross multiply
    82,247.91x = 123,979.36 × 123,979.36
  4. Step 4: Simplify right side
    82,247.91x = 15,370,881,551.04
  5. Step 5: Solve for x
    x = 15,370,881,551.04/82,247.91
  6. Step 6: Final answer
    x = 186,884.78

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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.