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Finding the Third Proportional to 52,739 and 79,333

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Solution

The third proportional to 52,739 and 79,333 is: 119,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,739 : 79,333 = 79,333 : x
  2. Step 2: Convert to fraction form
    52,739/79,333 = 79,333/x
  3. Step 3: Cross multiply
    52,739x = 79,333 × 79,333
  4. Step 4: Simplify right side
    52,739x = 6,293,724,889
  5. Step 5: Solve for x
    x = 6,293,724,889/52,739
  6. Step 6: Final answer
    x = 119,337.21

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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.