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Finding the Third Proportional to 40,959 and 86,289

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Solution

The third proportional to 40,959 and 86,289 is: 181,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959 : 86,289 = 86,289 : x
  2. Step 2: Convert to fraction form
    40,959/86,289 = 86,289/x
  3. Step 3: Cross multiply
    40,959x = 86,289 × 86,289
  4. Step 4: Simplify right side
    40,959x = 7,445,791,521
  5. Step 5: Solve for x
    x = 7,445,791,521/40,959
  6. Step 6: Final answer
    x = 181,786.46

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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.