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Finding the Third Proportional to 133,034 and 195,658

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Solution

The third proportional to 133,034 and 195,658 is: 287,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034 : 195,658 = 195,658 : x
  2. Step 2: Convert to fraction form
    133,034/195,658 = 195,658/x
  3. Step 3: Cross multiply
    133,034x = 195,658 × 195,658
  4. Step 4: Simplify right side
    133,034x = 38,282,052,964
  5. Step 5: Solve for x
    x = 38,282,052,964/133,034
  6. Step 6: Final answer
    x = 287,761.42

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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.