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Finding the Third Proportional to 133,044 and 211,802

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Solution

The third proportional to 133,044 and 211,802 is: 337,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044 : 211,802 = 211,802 : x
  2. Step 2: Convert to fraction form
    133,044/211,802 = 211,802/x
  3. Step 3: Cross multiply
    133,044x = 211,802 × 211,802
  4. Step 4: Simplify right side
    133,044x = 44,860,087,204
  5. Step 5: Solve for x
    x = 44,860,087,204/133,044
  6. Step 6: Final answer
    x = 337,182.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.