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Finding the Third Proportional to 88,188 and 133,077

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Solution

The third proportional to 88,188 and 133,077 is: 200,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,188 : 133,077 = 133,077 : x
  2. Step 2: Convert to fraction form
    88,188/133,077 = 133,077/x
  3. Step 3: Cross multiply
    88,188x = 133,077 × 133,077
  4. Step 4: Simplify right side
    88,188x = 17,709,487,929
  5. Step 5: Solve for x
    x = 17,709,487,929/88,188
  6. Step 6: Final answer
    x = 200,815.17

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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.