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Finding the Third Proportional to 50,258 and 99,247

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Solution

The third proportional to 50,258 and 99,247 is: 195,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258 : 99,247 = 99,247 : x
  2. Step 2: Convert to fraction form
    50,258/99,247 = 99,247/x
  3. Step 3: Cross multiply
    50,258x = 99,247 × 99,247
  4. Step 4: Simplify right side
    50,258x = 9,849,967,009
  5. Step 5: Solve for x
    x = 9,849,967,009/50,258
  6. Step 6: Final answer
    x = 195,988.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.