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Finding the Third Proportional to 42,532.13 and 91,708.13

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Solution

The third proportional to 42,532.13 and 91,708.13 is: 197,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532.13 : 91,708.13 = 91,708.13 : x
  2. Step 2: Convert to fraction form
    42,532.13/91,708.13 = 91,708.13/x
  3. Step 3: Cross multiply
    42,532.13x = 91,708.13 × 91,708.13
  4. Step 4: Simplify right side
    42,532.13x = 8,410,380,191.02
  5. Step 5: Solve for x
    x = 8,410,380,191.02/42,532.13
  6. Step 6: Final answer
    x = 197,741.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.