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Finding the Third Proportional to 75,937.50 and 165,027.38

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Solution

The third proportional to 75,937.50 and 165,027.38 is: 358,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937.50 : 165,027.38 = 165,027.38 : x
  2. Step 2: Convert to fraction form
    75,937.50/165,027.38 = 165,027.38/x
  3. Step 3: Cross multiply
    75,937.50x = 165,027.38 × 165,027.38
  4. Step 4: Simplify right side
    75,937.50x = 27,234,034,499.39
  5. Step 5: Solve for x
    x = 27,234,034,499.39/75,937.50
  6. Step 6: Final answer
    x = 358,637.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.