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Finding the Third Proportional to 87,102 and 133,152

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Solution

The third proportional to 87,102 and 133,152 is: 203,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 133,152 = 133,152 : x
  2. Step 2: Convert to fraction form
    87,102/133,152 = 133,152/x
  3. Step 3: Cross multiply
    87,102x = 133,152 × 133,152
  4. Step 4: Simplify right side
    87,102x = 17,729,455,104
  5. Step 5: Solve for x
    x = 17,729,455,104/87,102
  6. Step 6: Final answer
    x = 203,548.20

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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.