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Finding the Third Proportional to 89,231 and 134,603

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Solution

The third proportional to 89,231 and 134,603 is: 203,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,231 : 134,603 = 134,603 : x
  2. Step 2: Convert to fraction form
    89,231/134,603 = 134,603/x
  3. Step 3: Cross multiply
    89,231x = 134,603 × 134,603
  4. Step 4: Simplify right side
    89,231x = 18,117,967,609
  5. Step 5: Solve for x
    x = 18,117,967,609/89,231
  6. Step 6: Final answer
    x = 203,045.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.