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Finding the Third Proportional to 44,977 and 67,223

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Solution

The third proportional to 44,977 and 67,223 is: 100,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,977 : 67,223 = 67,223 : x
  2. Step 2: Convert to fraction form
    44,977/67,223 = 67,223/x
  3. Step 3: Cross multiply
    44,977x = 67,223 × 67,223
  4. Step 4: Simplify right side
    44,977x = 4,518,931,729
  5. Step 5: Solve for x
    x = 4,518,931,729/44,977
  6. Step 6: Final answer
    x = 100,472.06

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