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Finding the Third Proportional to 40,266 and 86,732

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Solution

The third proportional to 40,266 and 86,732 is: 186,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,266 : 86,732 = 86,732 : x
  2. Step 2: Convert to fraction form
    40,266/86,732 = 86,732/x
  3. Step 3: Cross multiply
    40,266x = 86,732 × 86,732
  4. Step 4: Simplify right side
    40,266x = 7,522,439,824
  5. Step 5: Solve for x
    x = 7,522,439,824/40,266
  6. Step 6: Final answer
    x = 186,818.65

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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.