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Finding the Third Proportional to 40,412 and 88,762

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Solution

The third proportional to 40,412 and 88,762 is: 194,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,412 : 88,762 = 88,762 : x
  2. Step 2: Convert to fraction form
    40,412/88,762 = 88,762/x
  3. Step 3: Cross multiply
    40,412x = 88,762 × 88,762
  4. Step 4: Simplify right side
    40,412x = 7,878,692,644
  5. Step 5: Solve for x
    x = 7,878,692,644/40,412
  6. Step 6: Final answer
    x = 194,959.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.