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Finding the Third Proportional to 42,279 and 59,110.50

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Solution

The third proportional to 42,279 and 59,110.50 is: 82,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,279 : 59,110.50 = 59,110.50 : x
  2. Step 2: Convert to fraction form
    42,279/59,110.50 = 59,110.50/x
  3. Step 3: Cross multiply
    42,279x = 59,110.50 × 59,110.50
  4. Step 4: Simplify right side
    42,279x = 3,494,051,210.25
  5. Step 5: Solve for x
    x = 3,494,051,210.25/42,279
  6. Step 6: Final answer
    x = 82,642.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.