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Finding the Third Proportional to 51,624 and 77,868

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Solution

The third proportional to 51,624 and 77,868 is: 117,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 77,868 = 77,868 : x
  2. Step 2: Convert to fraction form
    51,624/77,868 = 77,868/x
  3. Step 3: Cross multiply
    51,624x = 77,868 × 77,868
  4. Step 4: Simplify right side
    51,624x = 6,063,425,424
  5. Step 5: Solve for x
    x = 6,063,425,424/51,624
  6. Step 6: Final answer
    x = 117,453.62

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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.