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Finding the Third Proportional to 40,266 and 85,732

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Solution

The third proportional to 40,266 and 85,732 is: 182,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,266 : 85,732 = 85,732 : x
  2. Step 2: Convert to fraction form
    40,266/85,732 = 85,732/x
  3. Step 3: Cross multiply
    40,266x = 85,732 × 85,732
  4. Step 4: Simplify right side
    40,266x = 7,349,975,824
  5. Step 5: Solve for x
    x = 7,349,975,824/40,266
  6. Step 6: Final answer
    x = 182,535.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.