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Finding the Third Proportional to 48,903 and 107,310

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Solution

The third proportional to 48,903 and 107,310 is: 235,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,903 : 107,310 = 107,310 : x
  2. Step 2: Convert to fraction form
    48,903/107,310 = 107,310/x
  3. Step 3: Cross multiply
    48,903x = 107,310 × 107,310
  4. Step 4: Simplify right side
    48,903x = 11,515,436,100
  5. Step 5: Solve for x
    x = 11,515,436,100/48,903
  6. Step 6: Final answer
    x = 235,475.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.