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Finding the Third Proportional to 103,362 and 150,942

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Solution

The third proportional to 103,362 and 150,942 is: 220,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,362 : 150,942 = 150,942 : x
  2. Step 2: Convert to fraction form
    103,362/150,942 = 150,942/x
  3. Step 3: Cross multiply
    103,362x = 150,942 × 150,942
  4. Step 4: Simplify right side
    103,362x = 22,783,487,364
  5. Step 5: Solve for x
    x = 22,783,487,364/103,362
  6. Step 6: Final answer
    x = 220,424.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.