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Finding the Third Proportional to 62,708 and 122,274

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Solution

The third proportional to 62,708 and 122,274 is: 238,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,708 : 122,274 = 122,274 : x
  2. Step 2: Convert to fraction form
    62,708/122,274 = 122,274/x
  3. Step 3: Cross multiply
    62,708x = 122,274 × 122,274
  4. Step 4: Simplify right side
    62,708x = 14,950,931,076
  5. Step 5: Solve for x
    x = 14,950,931,076/62,708
  6. Step 6: Final answer
    x = 238,421.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.