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Finding the Third Proportional to 42,027.19 and 90,424.69

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Solution

The third proportional to 42,027.19 and 90,424.69 is: 194,555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,027.19 : 90,424.69 = 90,424.69 : x
  2. Step 2: Convert to fraction form
    42,027.19/90,424.69 = 90,424.69/x
  3. Step 3: Cross multiply
    42,027.19x = 90,424.69 × 90,424.69
  4. Step 4: Simplify right side
    42,027.19x = 8,176,624,109.47
  5. Step 5: Solve for x
    x = 8,176,624,109.47/42,027.19
  6. Step 6: Final answer
    x = 194,555.59

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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.