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Finding the Third Proportional to 42,241 and 59,055.75

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Solution

The third proportional to 42,241 and 59,055.75 is: 82,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 59,055.75 = 59,055.75 : x
  2. Step 2: Convert to fraction form
    42,241/59,055.75 = 59,055.75/x
  3. Step 3: Cross multiply
    42,241x = 59,055.75 × 59,055.75
  4. Step 4: Simplify right side
    42,241x = 3,487,581,608.06
  5. Step 5: Solve for x
    x = 3,487,581,608.06/42,241
  6. Step 6: Final answer
    x = 82,563.90

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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.