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Finding the Third Proportional to 40,950.56 and 84,153.94

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Solution

The third proportional to 40,950.56 and 84,153.94 is: 172,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,950.56 : 84,153.94 = 84,153.94 : x
  2. Step 2: Convert to fraction form
    40,950.56/84,153.94 = 84,153.94/x
  3. Step 3: Cross multiply
    40,950.56x = 84,153.94 × 84,153.94
  4. Step 4: Simplify right side
    40,950.56x = 7,081,885,196.75
  5. Step 5: Solve for x
    x = 7,081,885,196.75/40,950.56
  6. Step 6: Final answer
    x = 172,937.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.