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Finding the Third Proportional to 133,088 and 195,742

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Solution

The third proportional to 133,088 and 195,742 is: 287,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 195,742 = 195,742 : x
  2. Step 2: Convert to fraction form
    133,088/195,742 = 195,742/x
  3. Step 3: Cross multiply
    133,088x = 195,742 × 195,742
  4. Step 4: Simplify right side
    133,088x = 38,314,930,564
  5. Step 5: Solve for x
    x = 38,314,930,564/133,088
  6. Step 6: Final answer
    x = 287,891.70

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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.