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Finding the Third Proportional to 89,968 and 135,248

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Solution

The third proportional to 89,968 and 135,248 is: 203,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,968 : 135,248 = 135,248 : x
  2. Step 2: Convert to fraction form
    89,968/135,248 = 135,248/x
  3. Step 3: Cross multiply
    89,968x = 135,248 × 135,248
  4. Step 4: Simplify right side
    89,968x = 18,292,021,504
  5. Step 5: Solve for x
    x = 18,292,021,504/89,968
  6. Step 6: Final answer
    x = 203,316.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.