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Finding the Third Proportional to 73,863 and 152,081

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Solution

The third proportional to 73,863 and 152,081 is: 313,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,863 : 152,081 = 152,081 : x
  2. Step 2: Convert to fraction form
    73,863/152,081 = 152,081/x
  3. Step 3: Cross multiply
    73,863x = 152,081 × 152,081
  4. Step 4: Simplify right side
    73,863x = 23,128,630,561
  5. Step 5: Solve for x
    x = 23,128,630,561/73,863
  6. Step 6: Final answer
    x = 313,128.77

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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.