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Finding the Third Proportional to 103,156 and 139,182

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Solution

The third proportional to 103,156 and 139,182 is: 187,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,156 : 139,182 = 139,182 : x
  2. Step 2: Convert to fraction form
    103,156/139,182 = 139,182/x
  3. Step 3: Cross multiply
    103,156x = 139,182 × 139,182
  4. Step 4: Simplify right side
    103,156x = 19,371,629,124
  5. Step 5: Solve for x
    x = 19,371,629,124/103,156
  6. Step 6: Final answer
    x = 187,789.65

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Why These Related Problems?

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