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Finding the Third Proportional to 92,052 and 136,782

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Solution

The third proportional to 92,052 and 136,782 is: 203,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052 : 136,782 = 136,782 : x
  2. Step 2: Convert to fraction form
    92,052/136,782 = 136,782/x
  3. Step 3: Cross multiply
    92,052x = 136,782 × 136,782
  4. Step 4: Simplify right side
    92,052x = 18,709,315,524
  5. Step 5: Solve for x
    x = 18,709,315,524/92,052
  6. Step 6: Final answer
    x = 203,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.