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Finding the Third Proportional to 103,158 and 139,184

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Solution

The third proportional to 103,158 and 139,184 is: 187,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,158 : 139,184 = 139,184 : x
  2. Step 2: Convert to fraction form
    103,158/139,184 = 139,184/x
  3. Step 3: Cross multiply
    103,158x = 139,184 × 139,184
  4. Step 4: Simplify right side
    103,158x = 19,372,185,856
  5. Step 5: Solve for x
    x = 19,372,185,856/103,158
  6. Step 6: Final answer
    x = 187,791.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.