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Finding the Third Proportional to 71,288 and 99,661

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Solution

The third proportional to 71,288 and 99,661 is: 139,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288 : 99,661 = 99,661 : x
  2. Step 2: Convert to fraction form
    71,288/99,661 = 99,661/x
  3. Step 3: Cross multiply
    71,288x = 99,661 × 99,661
  4. Step 4: Simplify right side
    71,288x = 9,932,314,921
  5. Step 5: Solve for x
    x = 9,932,314,921/71,288
  6. Step 6: Final answer
    x = 139,326.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.