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Finding the Third Proportional to 81,610 and 125,837

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Solution

The third proportional to 81,610 and 125,837 is: 194,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610 : 125,837 = 125,837 : x
  2. Step 2: Convert to fraction form
    81,610/125,837 = 125,837/x
  3. Step 3: Cross multiply
    81,610x = 125,837 × 125,837
  4. Step 4: Simplify right side
    81,610x = 15,834,950,569
  5. Step 5: Solve for x
    x = 15,834,950,569/81,610
  6. Step 6: Final answer
    x = 194,031.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.