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Finding the Third Proportional to 40,708 and 88,880

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Solution

The third proportional to 40,708 and 88,880 is: 194,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,708 : 88,880 = 88,880 : x
  2. Step 2: Convert to fraction form
    40,708/88,880 = 88,880/x
  3. Step 3: Cross multiply
    40,708x = 88,880 × 88,880
  4. Step 4: Simplify right side
    40,708x = 7,899,654,400
  5. Step 5: Solve for x
    x = 7,899,654,400/40,708
  6. Step 6: Final answer
    x = 194,056.56

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Why These Related Problems?

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