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Finding the Third Proportional to 36,742 and 79,298

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Solution

The third proportional to 36,742 and 79,298 is: 171,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742 : 79,298 = 79,298 : x
  2. Step 2: Convert to fraction form
    36,742/79,298 = 79,298/x
  3. Step 3: Cross multiply
    36,742x = 79,298 × 79,298
  4. Step 4: Simplify right side
    36,742x = 6,288,172,804
  5. Step 5: Solve for x
    x = 6,288,172,804/36,742
  6. Step 6: Final answer
    x = 171,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.