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Finding the Third Proportional to 67,848 and 108,028.50

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Solution

The third proportional to 67,848 and 108,028.50 is: 172,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,848 : 108,028.50 = 108,028.50 : x
  2. Step 2: Convert to fraction form
    67,848/108,028.50 = 108,028.50/x
  3. Step 3: Cross multiply
    67,848x = 108,028.50 × 108,028.50
  4. Step 4: Simplify right side
    67,848x = 11,670,156,812.25
  5. Step 5: Solve for x
    x = 11,670,156,812.25/67,848
  6. Step 6: Final answer
    x = 172,004.43

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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.