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Finding the Third Proportional to 41,880 and 98,787

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Solution

The third proportional to 41,880 and 98,787 is: 233,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880 : 98,787 = 98,787 : x
  2. Step 2: Convert to fraction form
    41,880/98,787 = 98,787/x
  3. Step 3: Cross multiply
    41,880x = 98,787 × 98,787
  4. Step 4: Simplify right side
    41,880x = 9,758,871,369
  5. Step 5: Solve for x
    x = 9,758,871,369/41,880
  6. Step 6: Final answer
    x = 233,019.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.