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Finding the Third Proportional to 87,495.75 and 191,941.31

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Solution

The third proportional to 87,495.75 and 191,941.31 is: 421,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,495.75 : 191,941.31 = 191,941.31 : x
  2. Step 2: Convert to fraction form
    87,495.75/191,941.31 = 191,941.31/x
  3. Step 3: Cross multiply
    87,495.75x = 191,941.31 × 191,941.31
  4. Step 4: Simplify right side
    87,495.75x = 36,841,467,444.22
  5. Step 5: Solve for x
    x = 36,841,467,444.22/87,495.75
  6. Step 6: Final answer
    x = 421,065.79

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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.