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Finding the Third Proportional to 44,288 and 66,252

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Solution

The third proportional to 44,288 and 66,252 is: 99,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,288 : 66,252 = 66,252 : x
  2. Step 2: Convert to fraction form
    44,288/66,252 = 66,252/x
  3. Step 3: Cross multiply
    44,288x = 66,252 × 66,252
  4. Step 4: Simplify right side
    44,288x = 4,389,327,504
  5. Step 5: Solve for x
    x = 4,389,327,504/44,288
  6. Step 6: Final answer
    x = 99,108.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.