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Finding the Third Proportional to 41,714 and 88,606

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Solution

The third proportional to 41,714 and 88,606 is: 188,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,714 : 88,606 = 88,606 : x
  2. Step 2: Convert to fraction form
    41,714/88,606 = 88,606/x
  3. Step 3: Cross multiply
    41,714x = 88,606 × 88,606
  4. Step 4: Simplify right side
    41,714x = 7,851,023,236
  5. Step 5: Solve for x
    x = 7,851,023,236/41,714
  6. Step 6: Final answer
    x = 188,210.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.