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Finding the Third Proportional to 42,201.75 and 66,826.13

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Solution

The third proportional to 42,201.75 and 66,826.13 is: 105,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201.75 : 66,826.13 = 66,826.13 : x
  2. Step 2: Convert to fraction form
    42,201.75/66,826.13 = 66,826.13/x
  3. Step 3: Cross multiply
    42,201.75x = 66,826.13 × 66,826.13
  4. Step 4: Simplify right side
    42,201.75x = 4,465,730,982.52
  5. Step 5: Solve for x
    x = 4,465,730,982.52/42,201.75
  6. Step 6: Final answer
    x = 105,818.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.