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Finding the Third Proportional to 92,453 and 189,287

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Solution

The third proportional to 92,453 and 189,287 is: 387,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,453 : 189,287 = 189,287 : x
  2. Step 2: Convert to fraction form
    92,453/189,287 = 189,287/x
  3. Step 3: Cross multiply
    92,453x = 189,287 × 189,287
  4. Step 4: Simplify right side
    92,453x = 35,829,568,369
  5. Step 5: Solve for x
    x = 35,829,568,369/92,453
  6. Step 6: Final answer
    x = 387,543.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.