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Finding the Third Proportional to 37,409 and 81,859

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Solution

The third proportional to 37,409 and 81,859 is: 179,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409 : 81,859 = 81,859 : x
  2. Step 2: Convert to fraction form
    37,409/81,859 = 81,859/x
  3. Step 3: Cross multiply
    37,409x = 81,859 × 81,859
  4. Step 4: Simplify right side
    37,409x = 6,700,895,881
  5. Step 5: Solve for x
    x = 6,700,895,881/37,409
  6. Step 6: Final answer
    x = 179,125.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.