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Finding the Third Proportional to 136,467 and 195,411.38

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Solution

The third proportional to 136,467 and 195,411.38 is: 279,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,467 : 195,411.38 = 195,411.38 : x
  2. Step 2: Convert to fraction form
    136,467/195,411.38 = 195,411.38/x
  3. Step 3: Cross multiply
    136,467x = 195,411.38 × 195,411.38
  4. Step 4: Simplify right side
    136,467x = 38,185,605,479.39
  5. Step 5: Solve for x
    x = 38,185,605,479.39/136,467
  6. Step 6: Final answer
    x = 279,815.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.