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Finding the Third Proportional to 73,190 and 152,122

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Solution

The third proportional to 73,190 and 152,122 is: 316,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,190 : 152,122 = 152,122 : x
  2. Step 2: Convert to fraction form
    73,190/152,122 = 152,122/x
  3. Step 3: Cross multiply
    73,190x = 152,122 × 152,122
  4. Step 4: Simplify right side
    73,190x = 23,141,102,884
  5. Step 5: Solve for x
    x = 23,141,102,884/73,190
  6. Step 6: Final answer
    x = 316,178.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.