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Finding the Third Proportional to 89,158 and 139,192

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Solution

The third proportional to 89,158 and 139,192 is: 217,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,158 : 139,192 = 139,192 : x
  2. Step 2: Convert to fraction form
    89,158/139,192 = 139,192/x
  3. Step 3: Cross multiply
    89,158x = 139,192 × 139,192
  4. Step 4: Simplify right side
    89,158x = 19,374,412,864
  5. Step 5: Solve for x
    x = 19,374,412,864/89,158
  6. Step 6: Final answer
    x = 217,304.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.