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Finding the Third Proportional to 42,052 and 88,694

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Solution

The third proportional to 42,052 and 88,694 is: 187,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052 : 88,694 = 88,694 : x
  2. Step 2: Convert to fraction form
    42,052/88,694 = 88,694/x
  3. Step 3: Cross multiply
    42,052x = 88,694 × 88,694
  4. Step 4: Simplify right side
    42,052x = 7,866,625,636
  5. Step 5: Solve for x
    x = 7,866,625,636/42,052
  6. Step 6: Final answer
    x = 187,069.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.