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Finding the Third Proportional to 42,343 and 90,517

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Solution

The third proportional to 42,343 and 90,517 is: 193,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,343 : 90,517 = 90,517 : x
  2. Step 2: Convert to fraction form
    42,343/90,517 = 90,517/x
  3. Step 3: Cross multiply
    42,343x = 90,517 × 90,517
  4. Step 4: Simplify right side
    42,343x = 8,193,327,289
  5. Step 5: Solve for x
    x = 8,193,327,289/42,343
  6. Step 6: Final answer
    x = 193,498.98

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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.