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Finding the Third Proportional to 51,073 and 78,764

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Solution

The third proportional to 51,073 and 78,764 is: 121,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,073 : 78,764 = 78,764 : x
  2. Step 2: Convert to fraction form
    51,073/78,764 = 78,764/x
  3. Step 3: Cross multiply
    51,073x = 78,764 × 78,764
  4. Step 4: Simplify right side
    51,073x = 6,203,767,696
  5. Step 5: Solve for x
    x = 6,203,767,696/51,073
  6. Step 6: Final answer
    x = 121,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.