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Finding the Third Proportional to 40,377 and 86,925

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Solution

The third proportional to 40,377 and 86,925 is: 187,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377 : 86,925 = 86,925 : x
  2. Step 2: Convert to fraction form
    40,377/86,925 = 86,925/x
  3. Step 3: Cross multiply
    40,377x = 86,925 × 86,925
  4. Step 4: Simplify right side
    40,377x = 7,555,955,625
  5. Step 5: Solve for x
    x = 7,555,955,625/40,377
  6. Step 6: Final answer
    x = 187,135.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.