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Finding the Third Proportional to 42,306 and 62,227

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Solution

The third proportional to 42,306 and 62,227 is: 91,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306 : 62,227 = 62,227 : x
  2. Step 2: Convert to fraction form
    42,306/62,227 = 62,227/x
  3. Step 3: Cross multiply
    42,306x = 62,227 × 62,227
  4. Step 4: Simplify right side
    42,306x = 3,872,199,529
  5. Step 5: Solve for x
    x = 3,872,199,529/42,306
  6. Step 6: Final answer
    x = 91,528.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.