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Finding the Third Proportional to 125,775 and 186,951

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Solution

The third proportional to 125,775 and 186,951 is: 277,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,775 : 186,951 = 186,951 : x
  2. Step 2: Convert to fraction form
    125,775/186,951 = 186,951/x
  3. Step 3: Cross multiply
    125,775x = 186,951 × 186,951
  4. Step 4: Simplify right side
    125,775x = 34,950,676,401
  5. Step 5: Solve for x
    x = 34,950,676,401/125,775
  6. Step 6: Final answer
    x = 277,882.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.