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Finding the Third Proportional to 50,281 and 99,292

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Solution

The third proportional to 50,281 and 99,292 is: 196,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,281 : 99,292 = 99,292 : x
  2. Step 2: Convert to fraction form
    50,281/99,292 = 99,292/x
  3. Step 3: Cross multiply
    50,281x = 99,292 × 99,292
  4. Step 4: Simplify right side
    50,281x = 9,858,901,264
  5. Step 5: Solve for x
    x = 9,858,901,264/50,281
  6. Step 6: Final answer
    x = 196,076.08

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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.