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Finding the Third Proportional to 50,258 and 136,715

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Solution

The third proportional to 50,258 and 136,715 is: 371,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258 : 136,715 = 136,715 : x
  2. Step 2: Convert to fraction form
    50,258/136,715 = 136,715/x
  3. Step 3: Cross multiply
    50,258x = 136,715 × 136,715
  4. Step 4: Simplify right side
    50,258x = 18,690,991,225
  5. Step 5: Solve for x
    x = 18,690,991,225/50,258
  6. Step 6: Final answer
    x = 371,900.82

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.