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Finding the Third Proportional to 51,286 and 77,612

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Solution

The third proportional to 51,286 and 77,612 is: 117,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,286 : 77,612 = 77,612 : x
  2. Step 2: Convert to fraction form
    51,286/77,612 = 77,612/x
  3. Step 3: Cross multiply
    51,286x = 77,612 × 77,612
  4. Step 4: Simplify right side
    51,286x = 6,023,622,544
  5. Step 5: Solve for x
    x = 6,023,622,544/51,286
  6. Step 6: Final answer
    x = 117,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.