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Finding the Third Proportional to 36,519 and 79,737

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Solution

The third proportional to 36,519 and 79,737 is: 174,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,519 : 79,737 = 79,737 : x
  2. Step 2: Convert to fraction form
    36,519/79,737 = 79,737/x
  3. Step 3: Cross multiply
    36,519x = 79,737 × 79,737
  4. Step 4: Simplify right side
    36,519x = 6,357,989,169
  5. Step 5: Solve for x
    x = 6,357,989,169/36,519
  6. Step 6: Final answer
    x = 174,100.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.