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Finding the Third Proportional to 92,101 and 203,560

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Solution

The third proportional to 92,101 and 203,560 is: 449,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101 : 203,560 = 203,560 : x
  2. Step 2: Convert to fraction form
    92,101/203,560 = 203,560/x
  3. Step 3: Cross multiply
    92,101x = 203,560 × 203,560
  4. Step 4: Simplify right side
    92,101x = 41,436,673,600
  5. Step 5: Solve for x
    x = 41,436,673,600/92,101
  6. Step 6: Final answer
    x = 449,904.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.