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Finding the Third Proportional to 52,449 and 80,664

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Solution

The third proportional to 52,449 and 80,664 is: 124,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,449 : 80,664 = 80,664 : x
  2. Step 2: Convert to fraction form
    52,449/80,664 = 80,664/x
  3. Step 3: Cross multiply
    52,449x = 80,664 × 80,664
  4. Step 4: Simplify right side
    52,449x = 6,506,680,896
  5. Step 5: Solve for x
    x = 6,506,680,896/52,449
  6. Step 6: Final answer
    x = 124,057.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.