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Finding the Third Proportional to 73,908 and 152,172

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Solution

The third proportional to 73,908 and 152,172 is: 313,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908 : 152,172 = 152,172 : x
  2. Step 2: Convert to fraction form
    73,908/152,172 = 152,172/x
  3. Step 3: Cross multiply
    73,908x = 152,172 × 152,172
  4. Step 4: Simplify right side
    73,908x = 23,156,317,584
  5. Step 5: Solve for x
    x = 23,156,317,584/73,908
  6. Step 6: Final answer
    x = 313,312.73

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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.