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Finding the Third Proportional to 36,351 and 77,017

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Solution

The third proportional to 36,351 and 77,017 is: 163,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351 : 77,017 = 77,017 : x
  2. Step 2: Convert to fraction form
    36,351/77,017 = 77,017/x
  3. Step 3: Cross multiply
    36,351x = 77,017 × 77,017
  4. Step 4: Simplify right side
    36,351x = 5,931,618,289
  5. Step 5: Solve for x
    x = 5,931,618,289/36,351
  6. Step 6: Final answer
    x = 163,176.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.