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Finding the Third Proportional to 40,707 and 88,582

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Solution

The third proportional to 40,707 and 88,582 is: 192,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,707 : 88,582 = 88,582 : x
  2. Step 2: Convert to fraction form
    40,707/88,582 = 88,582/x
  3. Step 3: Cross multiply
    40,707x = 88,582 × 88,582
  4. Step 4: Simplify right side
    40,707x = 7,846,770,724
  5. Step 5: Solve for x
    x = 7,846,770,724/40,707
  6. Step 6: Final answer
    x = 192,762.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.