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Finding the Third Proportional to 39,967.88 and 88,272.56

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Solution

The third proportional to 39,967.88 and 88,272.56 is: 194,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,967.88 : 88,272.56 = 88,272.56 : x
  2. Step 2: Convert to fraction form
    39,967.88/88,272.56 = 88,272.56/x
  3. Step 3: Cross multiply
    39,967.88x = 88,272.56 × 88,272.56
  4. Step 4: Simplify right side
    39,967.88x = 7,792,045,290.32
  5. Step 5: Solve for x
    x = 7,792,045,290.32/39,967.88
  6. Step 6: Final answer
    x = 194,957.71

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.