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Finding the Third Proportional to 42,243.50 and 59,059.50

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Solution

The third proportional to 42,243.50 and 59,059.50 is: 82,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243.50 : 59,059.50 = 59,059.50 : x
  2. Step 2: Convert to fraction form
    42,243.50/59,059.50 = 59,059.50/x
  3. Step 3: Cross multiply
    42,243.50x = 59,059.50 × 59,059.50
  4. Step 4: Simplify right side
    42,243.50x = 3,488,024,540.25
  5. Step 5: Solve for x
    x = 3,488,024,540.25/42,243.50
  6. Step 6: Final answer
    x = 82,569.50

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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.