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Finding the Third Proportional to 91,763 and 120,931

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Solution

The third proportional to 91,763 and 120,931 is: 159,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,763 : 120,931 = 120,931 : x
  2. Step 2: Convert to fraction form
    91,763/120,931 = 120,931/x
  3. Step 3: Cross multiply
    91,763x = 120,931 × 120,931
  4. Step 4: Simplify right side
    91,763x = 14,624,306,761
  5. Step 5: Solve for x
    x = 14,624,306,761/91,763
  6. Step 6: Final answer
    x = 159,370.41

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.