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Finding the Third Proportional to 87,954.75 and 171,534.38

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Solution

The third proportional to 87,954.75 and 171,534.38 is: 334,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,954.75 : 171,534.38 = 171,534.38 : x
  2. Step 2: Convert to fraction form
    87,954.75/171,534.38 = 171,534.38/x
  3. Step 3: Cross multiply
    87,954.75x = 171,534.38 × 171,534.38
  4. Step 4: Simplify right side
    87,954.75x = 29,424,041,806.64
  5. Step 5: Solve for x
    x = 29,424,041,806.64/87,954.75
  6. Step 6: Final answer
    x = 334,536.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.