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Finding the Third Proportional to 40,359 and 79,683

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Solution

The third proportional to 40,359 and 79,683 is: 157,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,359 : 79,683 = 79,683 : x
  2. Step 2: Convert to fraction form
    40,359/79,683 = 79,683/x
  3. Step 3: Cross multiply
    40,359x = 79,683 × 79,683
  4. Step 4: Simplify right side
    40,359x = 6,349,380,489
  5. Step 5: Solve for x
    x = 6,349,380,489/40,359
  6. Step 6: Final answer
    x = 157,322.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.