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Finding the Third Proportional to 87,369.75 and 191,097

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Solution

The third proportional to 87,369.75 and 191,097 is: 417,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,369.75 : 191,097 = 191,097 : x
  2. Step 2: Convert to fraction form
    87,369.75/191,097 = 191,097/x
  3. Step 3: Cross multiply
    87,369.75x = 191,097 × 191,097
  4. Step 4: Simplify right side
    87,369.75x = 36,518,063,409
  5. Step 5: Solve for x
    x = 36,518,063,409/87,369.75
  6. Step 6: Final answer
    x = 417,971.48

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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.