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Finding the Third Proportional to 52,038 and 80,544

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Solution

The third proportional to 52,038 and 80,544 is: 124,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 80,544 = 80,544 : x
  2. Step 2: Convert to fraction form
    52,038/80,544 = 80,544/x
  3. Step 3: Cross multiply
    52,038x = 80,544 × 80,544
  4. Step 4: Simplify right side
    52,038x = 6,487,335,936
  5. Step 5: Solve for x
    x = 6,487,335,936/52,038
  6. Step 6: Final answer
    x = 124,665.36

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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.