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Finding the Third Proportional to 126,352.41 and 185,819.06

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Solution

The third proportional to 126,352.41 and 185,819.06 is: 273,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,352.41 : 185,819.06 = 185,819.06 : x
  2. Step 2: Convert to fraction form
    126,352.41/185,819.06 = 185,819.06/x
  3. Step 3: Cross multiply
    126,352.41x = 185,819.06 × 185,819.06
  4. Step 4: Simplify right side
    126,352.41x = 34,528,723,988.38
  5. Step 5: Solve for x
    x = 34,528,723,988.38/126,352.41
  6. Step 6: Final answer
    x = 273,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.