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Finding the Third Proportional to 89,982 and 137,700

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Solution

The third proportional to 89,982 and 137,700 is: 210,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,982 : 137,700 = 137,700 : x
  2. Step 2: Convert to fraction form
    89,982/137,700 = 137,700/x
  3. Step 3: Cross multiply
    89,982x = 137,700 × 137,700
  4. Step 4: Simplify right side
    89,982x = 18,961,290,000
  5. Step 5: Solve for x
    x = 18,961,290,000/89,982
  6. Step 6: Final answer
    x = 210,723.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.