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Finding the Third Proportional to 87,501 and 191,951

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Solution

The third proportional to 87,501 and 191,951 is: 421,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,501 : 191,951 = 191,951 : x
  2. Step 2: Convert to fraction form
    87,501/191,951 = 191,951/x
  3. Step 3: Cross multiply
    87,501x = 191,951 × 191,951
  4. Step 4: Simplify right side
    87,501x = 36,845,186,401
  5. Step 5: Solve for x
    x = 36,845,186,401/87,501
  6. Step 6: Final answer
    x = 421,083.03

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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.