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Finding the Third Proportional to 67,832 and 144,670.50

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Solution

The third proportional to 67,832 and 144,670.50 is: 308,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 144,670.50 = 144,670.50 : x
  2. Step 2: Convert to fraction form
    67,832/144,670.50 = 144,670.50/x
  3. Step 3: Cross multiply
    67,832x = 144,670.50 × 144,670.50
  4. Step 4: Simplify right side
    67,832x = 20,929,553,570.25
  5. Step 5: Solve for x
    x = 20,929,553,570.25/67,832
  6. Step 6: Final answer
    x = 308,549.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.