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Finding the Third Proportional to 126,315.84 and 273,659.91

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Solution

The third proportional to 126,315.84 and 273,659.91 is: 592,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,315.84 : 273,659.91 = 273,659.91 : x
  2. Step 2: Convert to fraction form
    126,315.84/273,659.91 = 273,659.91/x
  3. Step 3: Cross multiply
    126,315.84x = 273,659.91 × 273,659.91
  4. Step 4: Simplify right side
    126,315.84x = 74,889,744,288.76
  5. Step 5: Solve for x
    x = 74,889,744,288.76/126,315.84
  6. Step 6: Final answer
    x = 592,876.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.