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Finding the Third Proportional to 125,912 and 176,028

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Solution

The third proportional to 125,912 and 176,028 is: 246,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,912 : 176,028 = 176,028 : x
  2. Step 2: Convert to fraction form
    125,912/176,028 = 176,028/x
  3. Step 3: Cross multiply
    125,912x = 176,028 × 176,028
  4. Step 4: Simplify right side
    125,912x = 30,985,856,784
  5. Step 5: Solve for x
    x = 30,985,856,784/125,912
  6. Step 6: Final answer
    x = 246,091.37

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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.