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Finding the Third Proportional to 133,069 and 191,297

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Solution

The third proportional to 133,069 and 191,297 is: 275,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069 : 191,297 = 191,297 : x
  2. Step 2: Convert to fraction form
    133,069/191,297 = 191,297/x
  3. Step 3: Cross multiply
    133,069x = 191,297 × 191,297
  4. Step 4: Simplify right side
    133,069x = 36,594,542,209
  5. Step 5: Solve for x
    x = 36,594,542,209/133,069
  6. Step 6: Final answer
    x = 275,004.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.