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Finding the Third Proportional to 103,480 and 158,227

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Solution

The third proportional to 103,480 and 158,227 is: 241,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,480 : 158,227 = 158,227 : x
  2. Step 2: Convert to fraction form
    103,480/158,227 = 158,227/x
  3. Step 3: Cross multiply
    103,480x = 158,227 × 158,227
  4. Step 4: Simplify right side
    103,480x = 25,035,783,529
  5. Step 5: Solve for x
    x = 25,035,783,529/103,480
  6. Step 6: Final answer
    x = 241,938.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.