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Finding the Third Proportional to 88,288 and 135,083

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Solution

The third proportional to 88,288 and 135,083 is: 206,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,288 : 135,083 = 135,083 : x
  2. Step 2: Convert to fraction form
    88,288/135,083 = 135,083/x
  3. Step 3: Cross multiply
    88,288x = 135,083 × 135,083
  4. Step 4: Simplify right side
    88,288x = 18,247,416,889
  5. Step 5: Solve for x
    x = 18,247,416,889/88,288
  6. Step 6: Final answer
    x = 206,680.60

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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.