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Finding the Third Proportional to 88,722 and 133,443

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Solution

The third proportional to 88,722 and 133,443 is: 200,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,722 : 133,443 = 133,443 : x
  2. Step 2: Convert to fraction form
    88,722/133,443 = 133,443/x
  3. Step 3: Cross multiply
    88,722x = 133,443 × 133,443
  4. Step 4: Simplify right side
    88,722x = 17,807,034,249
  5. Step 5: Solve for x
    x = 17,807,034,249/88,722
  6. Step 6: Final answer
    x = 200,705.96

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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.