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Finding the Third Proportional to 36,851 and 78,959

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Solution

The third proportional to 36,851 and 78,959 is: 169,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851 : 78,959 = 78,959 : x
  2. Step 2: Convert to fraction form
    36,851/78,959 = 78,959/x
  3. Step 3: Cross multiply
    36,851x = 78,959 × 78,959
  4. Step 4: Simplify right side
    36,851x = 6,234,523,681
  5. Step 5: Solve for x
    x = 6,234,523,681/36,851
  6. Step 6: Final answer
    x = 169,181.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.