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Finding the Third Proportional to 42,523.50 and 92,817

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Solution

The third proportional to 42,523.50 and 92,817 is: 202,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,523.50 : 92,817 = 92,817 : x
  2. Step 2: Convert to fraction form
    42,523.50/92,817 = 92,817/x
  3. Step 3: Cross multiply
    42,523.50x = 92,817 × 92,817
  4. Step 4: Simplify right side
    42,523.50x = 8,614,995,489
  5. Step 5: Solve for x
    x = 8,614,995,489/42,523.50
  6. Step 6: Final answer
    x = 202,593.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.