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Finding the Third Proportional to 67,138.50 and 148,248

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Solution

The third proportional to 67,138.50 and 148,248 is: 327,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.50 : 148,248 = 148,248 : x
  2. Step 2: Convert to fraction form
    67,138.50/148,248 = 148,248/x
  3. Step 3: Cross multiply
    67,138.50x = 148,248 × 148,248
  4. Step 4: Simplify right side
    67,138.50x = 21,977,469,504
  5. Step 5: Solve for x
    x = 21,977,469,504/67,138.50
  6. Step 6: Final answer
    x = 327,345.26

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.