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Finding the Third Proportional to 81,740 and 124,986

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Solution

The third proportional to 81,740 and 124,986 is: 191,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740 : 124,986 = 124,986 : x
  2. Step 2: Convert to fraction form
    81,740/124,986 = 124,986/x
  3. Step 3: Cross multiply
    81,740x = 124,986 × 124,986
  4. Step 4: Simplify right side
    81,740x = 15,621,500,196
  5. Step 5: Solve for x
    x = 15,621,500,196/81,740
  6. Step 6: Final answer
    x = 191,112.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.