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Finding the Third Proportional to 88,161 and 134,306

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Solution

The third proportional to 88,161 and 134,306 is: 204,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,161 : 134,306 = 134,306 : x
  2. Step 2: Convert to fraction form
    88,161/134,306 = 134,306/x
  3. Step 3: Cross multiply
    88,161x = 134,306 × 134,306
  4. Step 4: Simplify right side
    88,161x = 18,038,101,636
  5. Step 5: Solve for x
    x = 18,038,101,636/88,161
  6. Step 6: Final answer
    x = 204,604.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.