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Finding the Third Proportional to 41,984 and 88,705

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Solution

The third proportional to 41,984 and 88,705 is: 187,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,984 : 88,705 = 88,705 : x
  2. Step 2: Convert to fraction form
    41,984/88,705 = 88,705/x
  3. Step 3: Cross multiply
    41,984x = 88,705 × 88,705
  4. Step 4: Simplify right side
    41,984x = 7,868,577,025
  5. Step 5: Solve for x
    x = 7,868,577,025/41,984
  6. Step 6: Final answer
    x = 187,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.