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Finding the Third Proportional to 125,954 and 266,126

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Solution

The third proportional to 125,954 and 266,126 is: 562,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,954 : 266,126 = 266,126 : x
  2. Step 2: Convert to fraction form
    125,954/266,126 = 266,126/x
  3. Step 3: Cross multiply
    125,954x = 266,126 × 266,126
  4. Step 4: Simplify right side
    125,954x = 70,823,047,876
  5. Step 5: Solve for x
    x = 70,823,047,876/125,954
  6. Step 6: Final answer
    x = 562,292.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.