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Finding the Third Proportional to 52,320 and 80,052

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Solution

The third proportional to 52,320 and 80,052 is: 122,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320 : 80,052 = 80,052 : x
  2. Step 2: Convert to fraction form
    52,320/80,052 = 80,052/x
  3. Step 3: Cross multiply
    52,320x = 80,052 × 80,052
  4. Step 4: Simplify right side
    52,320x = 6,408,322,704
  5. Step 5: Solve for x
    x = 6,408,322,704/52,320
  6. Step 6: Final answer
    x = 122,483.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.