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Finding the Third Proportional to 43,029 and 92,287

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Solution

The third proportional to 43,029 and 92,287 is: 197,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,029 : 92,287 = 92,287 : x
  2. Step 2: Convert to fraction form
    43,029/92,287 = 92,287/x
  3. Step 3: Cross multiply
    43,029x = 92,287 × 92,287
  4. Step 4: Simplify right side
    43,029x = 8,516,890,369
  5. Step 5: Solve for x
    x = 8,516,890,369/43,029
  6. Step 6: Final answer
    x = 197,933.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.