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Finding the Third Proportional to 75,036 and 177,126.75

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Solution

The third proportional to 75,036 and 177,126.75 is: 418,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,036 : 177,126.75 = 177,126.75 : x
  2. Step 2: Convert to fraction form
    75,036/177,126.75 = 177,126.75/x
  3. Step 3: Cross multiply
    75,036x = 177,126.75 × 177,126.75
  4. Step 4: Simplify right side
    75,036x = 31,373,885,565.56
  5. Step 5: Solve for x
    x = 31,373,885,565.56/75,036
  6. Step 6: Final answer
    x = 418,117.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.