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Finding the Third Proportional to 125,766 and 266,058

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Solution

The third proportional to 125,766 and 266,058 is: 562,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,766 : 266,058 = 266,058 : x
  2. Step 2: Convert to fraction form
    125,766/266,058 = 266,058/x
  3. Step 3: Cross multiply
    125,766x = 266,058 × 266,058
  4. Step 4: Simplify right side
    125,766x = 70,786,859,364
  5. Step 5: Solve for x
    x = 70,786,859,364/125,766
  6. Step 6: Final answer
    x = 562,845.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.