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Finding the Third Proportional to 52,034 and 80,524

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Solution

The third proportional to 52,034 and 80,524 is: 124,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 80,524 = 80,524 : x
  2. Step 2: Convert to fraction form
    52,034/80,524 = 80,524/x
  3. Step 3: Cross multiply
    52,034x = 80,524 × 80,524
  4. Step 4: Simplify right side
    52,034x = 6,484,114,576
  5. Step 5: Solve for x
    x = 6,484,114,576/52,034
  6. Step 6: Final answer
    x = 124,613.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.