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Finding the Third Proportional to 42,372 and 62,243

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Solution

The third proportional to 42,372 and 62,243 is: 91,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,372 : 62,243 = 62,243 : x
  2. Step 2: Convert to fraction form
    42,372/62,243 = 62,243/x
  3. Step 3: Cross multiply
    42,372x = 62,243 × 62,243
  4. Step 4: Simplify right side
    42,372x = 3,874,191,049
  5. Step 5: Solve for x
    x = 3,874,191,049/42,372
  6. Step 6: Final answer
    x = 91,432.81

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