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Finding the Third Proportional to 81,513.50 and 171,875

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Solution

The third proportional to 81,513.50 and 171,875 is: 362,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,513.50 : 171,875 = 171,875 : x
  2. Step 2: Convert to fraction form
    81,513.50/171,875 = 171,875/x
  3. Step 3: Cross multiply
    81,513.50x = 171,875 × 171,875
  4. Step 4: Simplify right side
    81,513.50x = 29,541,015,625
  5. Step 5: Solve for x
    x = 29,541,015,625/81,513.50
  6. Step 6: Final answer
    x = 362,406.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.