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Finding the Third Proportional to 133,026 and 195,651

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Solution

The third proportional to 133,026 and 195,651 is: 287,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 195,651 = 195,651 : x
  2. Step 2: Convert to fraction form
    133,026/195,651 = 195,651/x
  3. Step 3: Cross multiply
    133,026x = 195,651 × 195,651
  4. Step 4: Simplify right side
    133,026x = 38,279,313,801
  5. Step 5: Solve for x
    x = 38,279,313,801/133,026
  6. Step 6: Final answer
    x = 287,758.14

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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.