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Finding the Third Proportional to 73,125 and 106,916

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Solution

The third proportional to 73,125 and 106,916 is: 156,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,125 : 106,916 = 106,916 : x
  2. Step 2: Convert to fraction form
    73,125/106,916 = 106,916/x
  3. Step 3: Cross multiply
    73,125x = 106,916 × 106,916
  4. Step 4: Simplify right side
    73,125x = 11,431,031,056
  5. Step 5: Solve for x
    x = 11,431,031,056/73,125
  6. Step 6: Final answer
    x = 156,321.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.