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Finding the Third Proportional to 42,055 and 63,259

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Solution

The third proportional to 42,055 and 63,259 is: 95,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,055 : 63,259 = 63,259 : x
  2. Step 2: Convert to fraction form
    42,055/63,259 = 63,259/x
  3. Step 3: Cross multiply
    42,055x = 63,259 × 63,259
  4. Step 4: Simplify right side
    42,055x = 4,001,701,081
  5. Step 5: Solve for x
    x = 4,001,701,081/42,055
  6. Step 6: Final answer
    x = 95,153.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.