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Finding the Third Proportional to 125,910 and 176,025

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Solution

The third proportional to 125,910 and 176,025 is: 246,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,910 : 176,025 = 176,025 : x
  2. Step 2: Convert to fraction form
    125,910/176,025 = 176,025/x
  3. Step 3: Cross multiply
    125,910x = 176,025 × 176,025
  4. Step 4: Simplify right side
    125,910x = 30,984,800,625
  5. Step 5: Solve for x
    x = 30,984,800,625/125,910
  6. Step 6: Final answer
    x = 246,086.89

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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.