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Finding the Third Proportional to 45,471.38 and 93,129.75

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Solution

The third proportional to 45,471.38 and 93,129.75 is: 190,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,471.38 : 93,129.75 = 93,129.75 : x
  2. Step 2: Convert to fraction form
    45,471.38/93,129.75 = 93,129.75/x
  3. Step 3: Cross multiply
    45,471.38x = 93,129.75 × 93,129.75
  4. Step 4: Simplify right side
    45,471.38x = 8,673,150,335.06
  5. Step 5: Solve for x
    x = 8,673,150,335.06/45,471.38
  6. Step 6: Final answer
    x = 190,738.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.