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Finding the Third Proportional to 42,139.69 and 90,532.69

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Solution

The third proportional to 42,139.69 and 90,532.69 is: 194,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,139.69 : 90,532.69 = 90,532.69 : x
  2. Step 2: Convert to fraction form
    42,139.69/90,532.69 = 90,532.69/x
  3. Step 3: Cross multiply
    42,139.69x = 90,532.69 × 90,532.69
  4. Step 4: Simplify right side
    42,139.69x = 8,196,167,505.97
  5. Step 5: Solve for x
    x = 8,196,167,505.97/42,139.69
  6. Step 6: Final answer
    x = 194,499.96

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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.