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Finding the Third Proportional to 133,096 and 195,747

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Solution

The third proportional to 133,096 and 195,747 is: 287,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 195,747 = 195,747 : x
  2. Step 2: Convert to fraction form
    133,096/195,747 = 195,747/x
  3. Step 3: Cross multiply
    133,096x = 195,747 × 195,747
  4. Step 4: Simplify right side
    133,096x = 38,316,888,009
  5. Step 5: Solve for x
    x = 38,316,888,009/133,096
  6. Step 6: Final answer
    x = 287,889.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.