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Finding the Third Proportional to 49,203.25 and 78,330

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Solution

The third proportional to 49,203.25 and 78,330 is: 124,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203.25 : 78,330 = 78,330 : x
  2. Step 2: Convert to fraction form
    49,203.25/78,330 = 78,330/x
  3. Step 3: Cross multiply
    49,203.25x = 78,330 × 78,330
  4. Step 4: Simplify right side
    49,203.25x = 6,135,588,900
  5. Step 5: Solve for x
    x = 6,135,588,900/49,203.25
  6. Step 6: Final answer
    x = 124,698.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.