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Finding the Third Proportional to 96,628 and 139,175

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Solution

The third proportional to 96,628 and 139,175 is: 200,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,628 : 139,175 = 139,175 : x
  2. Step 2: Convert to fraction form
    96,628/139,175 = 139,175/x
  3. Step 3: Cross multiply
    96,628x = 139,175 × 139,175
  4. Step 4: Simplify right side
    96,628x = 19,369,680,625
  5. Step 5: Solve for x
    x = 19,369,680,625/96,628
  6. Step 6: Final answer
    x = 200,456.19

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.