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Finding the Third Proportional to 52,767 and 80,460

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Solution

The third proportional to 52,767 and 80,460 is: 122,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,767 : 80,460 = 80,460 : x
  2. Step 2: Convert to fraction form
    52,767/80,460 = 80,460/x
  3. Step 3: Cross multiply
    52,767x = 80,460 × 80,460
  4. Step 4: Simplify right side
    52,767x = 6,473,811,600
  5. Step 5: Solve for x
    x = 6,473,811,600/52,767
  6. Step 6: Final answer
    x = 122,686.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.