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Finding the Third Proportional to 51,769 and 77,573

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Solution

The third proportional to 51,769 and 77,573 is: 116,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769 : 77,573 = 77,573 : x
  2. Step 2: Convert to fraction form
    51,769/77,573 = 77,573/x
  3. Step 3: Cross multiply
    51,769x = 77,573 × 77,573
  4. Step 4: Simplify right side
    51,769x = 6,017,570,329
  5. Step 5: Solve for x
    x = 6,017,570,329/51,769
  6. Step 6: Final answer
    x = 116,238.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.