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Finding the Third Proportional to 103,150 and 139,173

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Solution

The third proportional to 103,150 and 139,173 is: 187,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,150 : 139,173 = 139,173 : x
  2. Step 2: Convert to fraction form
    103,150/139,173 = 139,173/x
  3. Step 3: Cross multiply
    103,150x = 139,173 × 139,173
  4. Step 4: Simplify right side
    103,150x = 19,369,123,929
  5. Step 5: Solve for x
    x = 19,369,123,929/103,150
  6. Step 6: Final answer
    x = 187,776.29

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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.