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Finding the Third Proportional to 67,900 and 147,944

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Solution

The third proportional to 67,900 and 147,944 is: 322,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,900 : 147,944 = 147,944 : x
  2. Step 2: Convert to fraction form
    67,900/147,944 = 147,944/x
  3. Step 3: Cross multiply
    67,900x = 147,944 × 147,944
  4. Step 4: Simplify right side
    67,900x = 21,887,427,136
  5. Step 5: Solve for x
    x = 21,887,427,136/67,900
  6. Step 6: Final answer
    x = 322,347.97

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