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Finding the Third Proportional to 61,935 and 136,203

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Solution

The third proportional to 61,935 and 136,203 is: 299,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,935 : 136,203 = 136,203 : x
  2. Step 2: Convert to fraction form
    61,935/136,203 = 136,203/x
  3. Step 3: Cross multiply
    61,935x = 136,203 × 136,203
  4. Step 4: Simplify right side
    61,935x = 18,551,257,209
  5. Step 5: Solve for x
    x = 18,551,257,209/61,935
  6. Step 6: Final answer
    x = 299,527.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.