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Finding the Third Proportional to 100,110 and 177,962

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Solution

The third proportional to 100,110 and 177,962 is: 316,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,110 : 177,962 = 177,962 : x
  2. Step 2: Convert to fraction form
    100,110/177,962 = 177,962/x
  3. Step 3: Cross multiply
    100,110x = 177,962 × 177,962
  4. Step 4: Simplify right side
    100,110x = 31,670,473,444
  5. Step 5: Solve for x
    x = 31,670,473,444/100,110
  6. Step 6: Final answer
    x = 316,356.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.