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Finding the Third Proportional to 44,078 and 67,148

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Solution

The third proportional to 44,078 and 67,148 is: 102,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,078 : 67,148 = 67,148 : x
  2. Step 2: Convert to fraction form
    44,078/67,148 = 67,148/x
  3. Step 3: Cross multiply
    44,078x = 67,148 × 67,148
  4. Step 4: Simplify right side
    44,078x = 4,508,853,904
  5. Step 5: Solve for x
    x = 4,508,853,904/44,078
  6. Step 6: Final answer
    x = 102,292.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.