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Finding the Third Proportional to 129,741 and 279,489

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Solution

The third proportional to 129,741 and 279,489 is: 602,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,741 : 279,489 = 279,489 : x
  2. Step 2: Convert to fraction form
    129,741/279,489 = 279,489/x
  3. Step 3: Cross multiply
    129,741x = 279,489 × 279,489
  4. Step 4: Simplify right side
    129,741x = 78,114,101,121
  5. Step 5: Solve for x
    x = 78,114,101,121/129,741
  6. Step 6: Final answer
    x = 602,077.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.