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Finding the Third Proportional to 56,203 and 117,599

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Solution

The third proportional to 56,203 and 117,599 is: 246,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,203 : 117,599 = 117,599 : x
  2. Step 2: Convert to fraction form
    56,203/117,599 = 117,599/x
  3. Step 3: Cross multiply
    56,203x = 117,599 × 117,599
  4. Step 4: Simplify right side
    56,203x = 13,829,524,801
  5. Step 5: Solve for x
    x = 13,829,524,801/56,203
  6. Step 6: Final answer
    x = 246,063.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.