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Finding the Third Proportional to 40,714 and 88,397

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Solution

The third proportional to 40,714 and 88,397 is: 191,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,714 : 88,397 = 88,397 : x
  2. Step 2: Convert to fraction form
    40,714/88,397 = 88,397/x
  3. Step 3: Cross multiply
    40,714x = 88,397 × 88,397
  4. Step 4: Simplify right side
    40,714x = 7,814,029,609
  5. Step 5: Solve for x
    x = 7,814,029,609/40,714
  6. Step 6: Final answer
    x = 191,924.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.