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Finding the Third Proportional to 52,768 and 79,024

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Solution

The third proportional to 52,768 and 79,024 is: 118,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768 : 79,024 = 79,024 : x
  2. Step 2: Convert to fraction form
    52,768/79,024 = 79,024/x
  3. Step 3: Cross multiply
    52,768x = 79,024 × 79,024
  4. Step 4: Simplify right side
    52,768x = 6,244,792,576
  5. Step 5: Solve for x
    x = 6,244,792,576/52,768
  6. Step 6: Final answer
    x = 118,344.31

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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.