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Finding the Third Proportional to 48,069 and 103,248

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Solution

The third proportional to 48,069 and 103,248 is: 221,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,069 : 103,248 = 103,248 : x
  2. Step 2: Convert to fraction form
    48,069/103,248 = 103,248/x
  3. Step 3: Cross multiply
    48,069x = 103,248 × 103,248
  4. Step 4: Simplify right side
    48,069x = 10,660,149,504
  5. Step 5: Solve for x
    x = 10,660,149,504/48,069
  6. Step 6: Final answer
    x = 221,767.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.