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Finding the Third Proportional to 43,114 and 62,996

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Solution

The third proportional to 43,114 and 62,996 is: 92,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114 : 62,996 = 62,996 : x
  2. Step 2: Convert to fraction form
    43,114/62,996 = 62,996/x
  3. Step 3: Cross multiply
    43,114x = 62,996 × 62,996
  4. Step 4: Simplify right side
    43,114x = 3,968,496,016
  5. Step 5: Solve for x
    x = 3,968,496,016/43,114
  6. Step 6: Final answer
    x = 92,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.