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Finding the Third Proportional to 42,612 and 59,751

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Solution

The third proportional to 42,612 and 59,751 is: 83,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,612 : 59,751 = 59,751 : x
  2. Step 2: Convert to fraction form
    42,612/59,751 = 59,751/x
  3. Step 3: Cross multiply
    42,612x = 59,751 × 59,751
  4. Step 4: Simplify right side
    42,612x = 3,570,182,001
  5. Step 5: Solve for x
    x = 3,570,182,001/42,612
  6. Step 6: Final answer
    x = 83,783.49

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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.