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Finding the Third Proportional to 62,756 and 92,042

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Solution

The third proportional to 62,756 and 92,042 is: 134,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,756 : 92,042 = 92,042 : x
  2. Step 2: Convert to fraction form
    62,756/92,042 = 92,042/x
  3. Step 3: Cross multiply
    62,756x = 92,042 × 92,042
  4. Step 4: Simplify right side
    62,756x = 8,471,729,764
  5. Step 5: Solve for x
    x = 8,471,729,764/62,756
  6. Step 6: Final answer
    x = 134,994.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.