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Finding the Third Proportional to 89,910 and 141,036

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Solution

The third proportional to 89,910 and 141,036 is: 221,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,910 : 141,036 = 141,036 : x
  2. Step 2: Convert to fraction form
    89,910/141,036 = 141,036/x
  3. Step 3: Cross multiply
    89,910x = 141,036 × 141,036
  4. Step 4: Simplify right side
    89,910x = 19,891,153,296
  5. Step 5: Solve for x
    x = 19,891,153,296/89,910
  6. Step 6: Final answer
    x = 221,234.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.