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Finding the Third Proportional to 112,038 and 241,903

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Solution

The third proportional to 112,038 and 241,903 is: 522,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,038 : 241,903 = 241,903 : x
  2. Step 2: Convert to fraction form
    112,038/241,903 = 241,903/x
  3. Step 3: Cross multiply
    112,038x = 241,903 × 241,903
  4. Step 4: Simplify right side
    112,038x = 58,517,061,409
  5. Step 5: Solve for x
    x = 58,517,061,409/112,038
  6. Step 6: Final answer
    x = 522,296.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.