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Finding the Third Proportional to 67,401 and 103,248

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Solution

The third proportional to 67,401 and 103,248 is: 158,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,401 : 103,248 = 103,248 : x
  2. Step 2: Convert to fraction form
    67,401/103,248 = 103,248/x
  3. Step 3: Cross multiply
    67,401x = 103,248 × 103,248
  4. Step 4: Simplify right side
    67,401x = 10,660,149,504
  5. Step 5: Solve for x
    x = 10,660,149,504/67,401
  6. Step 6: Final answer
    x = 158,160.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.