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Finding the Third Proportional to 75,864.38 and 166,015.50

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Solution

The third proportional to 75,864.38 and 166,015.50 is: 363,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,864.38 : 166,015.50 = 166,015.50 : x
  2. Step 2: Convert to fraction form
    75,864.38/166,015.50 = 166,015.50/x
  3. Step 3: Cross multiply
    75,864.38x = 166,015.50 × 166,015.50
  4. Step 4: Simplify right side
    75,864.38x = 27,561,146,240.25
  5. Step 5: Solve for x
    x = 27,561,146,240.25/75,864.38
  6. Step 6: Final answer
    x = 363,294.98

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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.