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Finding the Third Proportional to 48,357 and 103,275

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Solution

The third proportional to 48,357 and 103,275 is: 220,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,357 : 103,275 = 103,275 : x
  2. Step 2: Convert to fraction form
    48,357/103,275 = 103,275/x
  3. Step 3: Cross multiply
    48,357x = 103,275 × 103,275
  4. Step 4: Simplify right side
    48,357x = 10,665,725,625
  5. Step 5: Solve for x
    x = 10,665,725,625/48,357
  6. Step 6: Final answer
    x = 220,562.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.