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Finding the Third Proportional to 82,875 and 181,422.75

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Solution

The third proportional to 82,875 and 181,422.75 is: 397,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,875 : 181,422.75 = 181,422.75 : x
  2. Step 2: Convert to fraction form
    82,875/181,422.75 = 181,422.75/x
  3. Step 3: Cross multiply
    82,875x = 181,422.75 × 181,422.75
  4. Step 4: Simplify right side
    82,875x = 32,914,214,217.56
  5. Step 5: Solve for x
    x = 32,914,214,217.56/82,875
  6. Step 6: Final answer
    x = 397,154.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.