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Finding the Third Proportional to 75,980.75 and 165,340.13

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Solution

The third proportional to 75,980.75 and 165,340.13 is: 359,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.75 : 165,340.13 = 165,340.13 : x
  2. Step 2: Convert to fraction form
    75,980.75/165,340.13 = 165,340.13/x
  3. Step 3: Cross multiply
    75,980.75x = 165,340.13 × 165,340.13
  4. Step 4: Simplify right side
    75,980.75x = 27,337,356,935.02
  5. Step 5: Solve for x
    x = 27,337,356,935.02/75,980.75
  6. Step 6: Final answer
    x = 359,793.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.