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Finding the Third Proportional to 52,408 and 80,136

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Solution

The third proportional to 52,408 and 80,136 is: 122,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408 : 80,136 = 80,136 : x
  2. Step 2: Convert to fraction form
    52,408/80,136 = 80,136/x
  3. Step 3: Cross multiply
    52,408x = 80,136 × 80,136
  4. Step 4: Simplify right side
    52,408x = 6,421,778,496
  5. Step 5: Solve for x
    x = 6,421,778,496/52,408
  6. Step 6: Final answer
    x = 122,534.32

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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.