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Finding the Third Proportional to 126,000 and 176,388

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Solution

The third proportional to 126,000 and 176,388 is: 246,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000 : 176,388 = 176,388 : x
  2. Step 2: Convert to fraction form
    126,000/176,388 = 176,388/x
  3. Step 3: Cross multiply
    126,000x = 176,388 × 176,388
  4. Step 4: Simplify right side
    126,000x = 31,112,726,544
  5. Step 5: Solve for x
    x = 31,112,726,544/126,000
  6. Step 6: Final answer
    x = 246,926.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.