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Finding the Third Proportional to 42,661.69 and 66,118.78

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Solution

The third proportional to 42,661.69 and 66,118.78 is: 102,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,661.69 : 66,118.78 = 66,118.78 : x
  2. Step 2: Convert to fraction form
    42,661.69/66,118.78 = 66,118.78/x
  3. Step 3: Cross multiply
    42,661.69x = 66,118.78 × 66,118.78
  4. Step 4: Simplify right side
    42,661.69x = 4,371,693,233.99
  5. Step 5: Solve for x
    x = 4,371,693,233.99/42,661.69
  6. Step 6: Final answer
    x = 102,473.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.