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Finding the Third Proportional to 52,738 and 79,331

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Solution

The third proportional to 52,738 and 79,331 is: 119,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,738 : 79,331 = 79,331 : x
  2. Step 2: Convert to fraction form
    52,738/79,331 = 79,331/x
  3. Step 3: Cross multiply
    52,738x = 79,331 × 79,331
  4. Step 4: Simplify right side
    52,738x = 6,293,407,561
  5. Step 5: Solve for x
    x = 6,293,407,561/52,738
  6. Step 6: Final answer
    x = 119,333.45

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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.