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Finding the Third Proportional to 100,117 and 177,976

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Solution

The third proportional to 100,117 and 177,976 is: 316,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117 : 177,976 = 177,976 : x
  2. Step 2: Convert to fraction form
    100,117/177,976 = 177,976/x
  3. Step 3: Cross multiply
    100,117x = 177,976 × 177,976
  4. Step 4: Simplify right side
    100,117x = 31,675,456,576
  5. Step 5: Solve for x
    x = 31,675,456,576/100,117
  6. Step 6: Final answer
    x = 316,384.40

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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.