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Finding the Third Proportional to 88,144 and 136,104

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Solution

The third proportional to 88,144 and 136,104 is: 210,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 136,104 = 136,104 : x
  2. Step 2: Convert to fraction form
    88,144/136,104 = 136,104/x
  3. Step 3: Cross multiply
    88,144x = 136,104 × 136,104
  4. Step 4: Simplify right side
    88,144x = 18,524,298,816
  5. Step 5: Solve for x
    x = 18,524,298,816/88,144
  6. Step 6: Final answer
    x = 210,159.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.