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Finding the Third Proportional to 126,319.50 and 273,663.56

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Solution

The third proportional to 126,319.50 and 273,663.56 is: 592,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,319.50 : 273,663.56 = 273,663.56 : x
  2. Step 2: Convert to fraction form
    126,319.50/273,663.56 = 273,663.56/x
  3. Step 3: Cross multiply
    126,319.50x = 273,663.56 × 273,663.56
  4. Step 4: Simplify right side
    126,319.50x = 74,891,745,440.19
  5. Step 5: Solve for x
    x = 74,891,745,440.19/126,319.50
  6. Step 6: Final answer
    x = 592,875.57

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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.