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Finding the Third Proportional to 75,207.38 and 163,908.56

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Solution

The third proportional to 75,207.38 and 163,908.56 is: 357,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207.38 : 163,908.56 = 163,908.56 : x
  2. Step 2: Convert to fraction form
    75,207.38/163,908.56 = 163,908.56/x
  3. Step 3: Cross multiply
    75,207.38x = 163,908.56 × 163,908.56
  4. Step 4: Simplify right side
    75,207.38x = 26,866,016,860.82
  5. Step 5: Solve for x
    x = 26,866,016,860.82/75,207.38
  6. Step 6: Final answer
    x = 357,225.83

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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.