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Finding the Third Proportional to 136,192 and 225,078

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Solution

The third proportional to 136,192 and 225,078 is: 371,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192 : 225,078 = 225,078 : x
  2. Step 2: Convert to fraction form
    136,192/225,078 = 225,078/x
  3. Step 3: Cross multiply
    136,192x = 225,078 × 225,078
  4. Step 4: Simplify right side
    136,192x = 50,660,106,084
  5. Step 5: Solve for x
    x = 50,660,106,084/136,192
  6. Step 6: Final answer
    x = 371,975.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.