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Finding the Third Proportional to 129,489 and 276,966

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Solution

The third proportional to 129,489 and 276,966 is: 592,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,489 : 276,966 = 276,966 : x
  2. Step 2: Convert to fraction form
    129,489/276,966 = 276,966/x
  3. Step 3: Cross multiply
    129,489x = 276,966 × 276,966
  4. Step 4: Simplify right side
    129,489x = 76,710,165,156
  5. Step 5: Solve for x
    x = 76,710,165,156/129,489
  6. Step 6: Final answer
    x = 592,406.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.