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Finding the Third Proportional to 89,889 and 133,081

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Solution

The third proportional to 89,889 and 133,081 is: 197,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,889 : 133,081 = 133,081 : x
  2. Step 2: Convert to fraction form
    89,889/133,081 = 133,081/x
  3. Step 3: Cross multiply
    89,889x = 133,081 × 133,081
  4. Step 4: Simplify right side
    89,889x = 17,710,552,561
  5. Step 5: Solve for x
    x = 17,710,552,561/89,889
  6. Step 6: Final answer
    x = 197,026.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.