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Finding the Third Proportional to 58,141.75 and 78,906.75

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Solution

The third proportional to 58,141.75 and 78,906.75 is: 107,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,141.75 : 78,906.75 = 78,906.75 : x
  2. Step 2: Convert to fraction form
    58,141.75/78,906.75 = 78,906.75/x
  3. Step 3: Cross multiply
    58,141.75x = 78,906.75 × 78,906.75
  4. Step 4: Simplify right side
    58,141.75x = 6,226,275,195.56
  5. Step 5: Solve for x
    x = 6,226,275,195.56/58,141.75
  6. Step 6: Final answer
    x = 107,087.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.