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Finding the Third Proportional to 87,356.50 and 191,071

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Solution

The third proportional to 87,356.50 and 191,071 is: 417,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356.50 : 191,071 = 191,071 : x
  2. Step 2: Convert to fraction form
    87,356.50/191,071 = 191,071/x
  3. Step 3: Cross multiply
    87,356.50x = 191,071 × 191,071
  4. Step 4: Simplify right side
    87,356.50x = 36,508,127,041
  5. Step 5: Solve for x
    x = 36,508,127,041/87,356.50
  6. Step 6: Final answer
    x = 417,921.13

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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.