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Finding the Third Proportional to 42,015.38 and 90,402.75

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Solution

The third proportional to 42,015.38 and 90,402.75 is: 194,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.38 : 90,402.75 = 90,402.75 : x
  2. Step 2: Convert to fraction form
    42,015.38/90,402.75 = 90,402.75/x
  3. Step 3: Cross multiply
    42,015.38x = 90,402.75 × 90,402.75
  4. Step 4: Simplify right side
    42,015.38x = 8,172,657,207.56
  5. Step 5: Solve for x
    x = 8,172,657,207.56/42,015.38
  6. Step 6: Final answer
    x = 194,515.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.