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Finding the Third Proportional to 88,096 and 135,078

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Solution

The third proportional to 88,096 and 135,078 is: 207,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,096 : 135,078 = 135,078 : x
  2. Step 2: Convert to fraction form
    88,096/135,078 = 135,078/x
  3. Step 3: Cross multiply
    88,096x = 135,078 × 135,078
  4. Step 4: Simplify right side
    88,096x = 18,246,066,084
  5. Step 5: Solve for x
    x = 18,246,066,084/88,096
  6. Step 6: Final answer
    x = 207,115.72

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Why These Related Problems?

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