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Finding the Third Proportional to 92,747 and 131,020

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Solution

The third proportional to 92,747 and 131,020 is: 185,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,747 : 131,020 = 131,020 : x
  2. Step 2: Convert to fraction form
    92,747/131,020 = 131,020/x
  3. Step 3: Cross multiply
    92,747x = 131,020 × 131,020
  4. Step 4: Simplify right side
    92,747x = 17,166,240,400
  5. Step 5: Solve for x
    x = 17,166,240,400/92,747
  6. Step 6: Final answer
    x = 185,086.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.