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Finding the Third Proportional to 48,000 and 103,358

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Solution

The third proportional to 48,000 and 103,358 is: 222,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 103,358 = 103,358 : x
  2. Step 2: Convert to fraction form
    48,000/103,358 = 103,358/x
  3. Step 3: Cross multiply
    48,000x = 103,358 × 103,358
  4. Step 4: Simplify right side
    48,000x = 10,682,876,164
  5. Step 5: Solve for x
    x = 10,682,876,164/48,000
  6. Step 6: Final answer
    x = 222,559.92

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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.