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Finding the Third Proportional to 68,752.50 and 109,398

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Solution

The third proportional to 68,752.50 and 109,398 is: 174,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,752.50 : 109,398 = 109,398 : x
  2. Step 2: Convert to fraction form
    68,752.50/109,398 = 109,398/x
  3. Step 3: Cross multiply
    68,752.50x = 109,398 × 109,398
  4. Step 4: Simplify right side
    68,752.50x = 11,967,922,404
  5. Step 5: Solve for x
    x = 11,967,922,404/68,752.50
  6. Step 6: Final answer
    x = 174,072.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.