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Finding the Third Proportional to 103,612 and 152,003

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Solution

The third proportional to 103,612 and 152,003 is: 222,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 152,003 = 152,003 : x
  2. Step 2: Convert to fraction form
    103,612/152,003 = 152,003/x
  3. Step 3: Cross multiply
    103,612x = 152,003 × 152,003
  4. Step 4: Simplify right side
    103,612x = 23,104,912,009
  5. Step 5: Solve for x
    x = 23,104,912,009/103,612
  6. Step 6: Final answer
    x = 222,994.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.