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Finding the Third Proportional to 88,991.25 and 137,832

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Solution

The third proportional to 88,991.25 and 137,832 is: 213,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,991.25 : 137,832 = 137,832 : x
  2. Step 2: Convert to fraction form
    88,991.25/137,832 = 137,832/x
  3. Step 3: Cross multiply
    88,991.25x = 137,832 × 137,832
  4. Step 4: Simplify right side
    88,991.25x = 18,997,660,224
  5. Step 5: Solve for x
    x = 18,997,660,224/88,991.25
  6. Step 6: Final answer
    x = 213,477.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.