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Finding the Third Proportional to 87,224 and 191,044

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Solution

The third proportional to 87,224 and 191,044 is: 418,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,224 : 191,044 = 191,044 : x
  2. Step 2: Convert to fraction form
    87,224/191,044 = 191,044/x
  3. Step 3: Cross multiply
    87,224x = 191,044 × 191,044
  4. Step 4: Simplify right side
    87,224x = 36,497,809,936
  5. Step 5: Solve for x
    x = 36,497,809,936/87,224
  6. Step 6: Final answer
    x = 418,437.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.