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Finding the Third Proportional to 67,013.50 and 139,538

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Solution

The third proportional to 67,013.50 and 139,538 is: 290,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,013.50 : 139,538 = 139,538 : x
  2. Step 2: Convert to fraction form
    67,013.50/139,538 = 139,538/x
  3. Step 3: Cross multiply
    67,013.50x = 139,538 × 139,538
  4. Step 4: Simplify right side
    67,013.50x = 19,470,853,444
  5. Step 5: Solve for x
    x = 19,470,853,444/67,013.50
  6. Step 6: Final answer
    x = 290,551.21

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.