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Finding the Third Proportional to 35,727 and 79,914

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Solution

The third proportional to 35,727 and 79,914 is: 178,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727 : 79,914 = 79,914 : x
  2. Step 2: Convert to fraction form
    35,727/79,914 = 79,914/x
  3. Step 3: Cross multiply
    35,727x = 79,914 × 79,914
  4. Step 4: Simplify right side
    35,727x = 6,386,247,396
  5. Step 5: Solve for x
    x = 6,386,247,396/35,727
  6. Step 6: Final answer
    x = 178,751.29

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.