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Finding the Third Proportional to 88,176 and 133,059

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Solution

The third proportional to 88,176 and 133,059 is: 200,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,176 : 133,059 = 133,059 : x
  2. Step 2: Convert to fraction form
    88,176/133,059 = 133,059/x
  3. Step 3: Cross multiply
    88,176x = 133,059 × 133,059
  4. Step 4: Simplify right side
    88,176x = 17,704,697,481
  5. Step 5: Solve for x
    x = 17,704,697,481/88,176
  6. Step 6: Final answer
    x = 200,788.17

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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.