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Finding the Third Proportional to 75,028 and 177,112

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Solution

The third proportional to 75,028 and 177,112 is: 418,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,028 : 177,112 = 177,112 : x
  2. Step 2: Convert to fraction form
    75,028/177,112 = 177,112/x
  3. Step 3: Cross multiply
    75,028x = 177,112 × 177,112
  4. Step 4: Simplify right side
    75,028x = 31,368,660,544
  5. Step 5: Solve for x
    x = 31,368,660,544/75,028
  6. Step 6: Final answer
    x = 418,092.72

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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.