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Finding the Third Proportional to 81,727.50 and 124,968

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Solution

The third proportional to 81,727.50 and 124,968 is: 191,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,727.50 : 124,968 = 124,968 : x
  2. Step 2: Convert to fraction form
    81,727.50/124,968 = 124,968/x
  3. Step 3: Cross multiply
    81,727.50x = 124,968 × 124,968
  4. Step 4: Simplify right side
    81,727.50x = 15,617,001,024
  5. Step 5: Solve for x
    x = 15,617,001,024/81,727.50
  6. Step 6: Final answer
    x = 191,086.24

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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.