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Finding the Third Proportional to 73,167 and 109,437

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Solution

The third proportional to 73,167 and 109,437 is: 163,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,167 : 109,437 = 109,437 : x
  2. Step 2: Convert to fraction form
    73,167/109,437 = 109,437/x
  3. Step 3: Cross multiply
    73,167x = 109,437 × 109,437
  4. Step 4: Simplify right side
    73,167x = 11,976,456,969
  5. Step 5: Solve for x
    x = 11,976,456,969/73,167
  6. Step 6: Final answer
    x = 163,686.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.