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Finding the Third Proportional to 103,144 and 139,164

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Solution

The third proportional to 103,144 and 139,164 is: 187,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144 : 139,164 = 139,164 : x
  2. Step 2: Convert to fraction form
    103,144/139,164 = 139,164/x
  3. Step 3: Cross multiply
    103,144x = 139,164 × 139,164
  4. Step 4: Simplify right side
    103,144x = 19,366,618,896
  5. Step 5: Solve for x
    x = 19,366,618,896/103,144
  6. Step 6: Final answer
    x = 187,762.92

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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.