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Finding the Third Proportional to 121,529 and 266,962

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Solution

The third proportional to 121,529 and 266,962 is: 586,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,529 : 266,962 = 266,962 : x
  2. Step 2: Convert to fraction form
    121,529/266,962 = 266,962/x
  3. Step 3: Cross multiply
    121,529x = 266,962 × 266,962
  4. Step 4: Simplify right side
    121,529x = 71,268,709,444
  5. Step 5: Solve for x
    x = 71,268,709,444/121,529
  6. Step 6: Final answer
    x = 586,433.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.