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Finding the Third Proportional to 52,744 and 79,126.50

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Solution

The third proportional to 52,744 and 79,126.50 is: 118,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,744 : 79,126.50 = 79,126.50 : x
  2. Step 2: Convert to fraction form
    52,744/79,126.50 = 79,126.50/x
  3. Step 3: Cross multiply
    52,744x = 79,126.50 × 79,126.50
  4. Step 4: Simplify right side
    52,744x = 6,261,003,002.25
  5. Step 5: Solve for x
    x = 6,261,003,002.25/52,744
  6. Step 6: Final answer
    x = 118,705.50

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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.