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Finding the Third Proportional to 42,523 and 92,815

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Solution

The third proportional to 42,523 and 92,815 is: 202,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,523 : 92,815 = 92,815 : x
  2. Step 2: Convert to fraction form
    42,523/92,815 = 92,815/x
  3. Step 3: Cross multiply
    42,523x = 92,815 × 92,815
  4. Step 4: Simplify right side
    42,523x = 8,614,624,225
  5. Step 5: Solve for x
    x = 8,614,624,225/42,523
  6. Step 6: Final answer
    x = 202,587.41

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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.