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Finding the Third Proportional to 51,182 and 77,559

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Solution

The third proportional to 51,182 and 77,559 is: 117,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,182 : 77,559 = 77,559 : x
  2. Step 2: Convert to fraction form
    51,182/77,559 = 77,559/x
  3. Step 3: Cross multiply
    51,182x = 77,559 × 77,559
  4. Step 4: Simplify right side
    51,182x = 6,015,398,481
  5. Step 5: Solve for x
    x = 6,015,398,481/51,182
  6. Step 6: Final answer
    x = 117,529.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.