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Finding the Third Proportional to 72,553 and 152,450

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Solution

The third proportional to 72,553 and 152,450 is: 320,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,553 : 152,450 = 152,450 : x
  2. Step 2: Convert to fraction form
    72,553/152,450 = 152,450/x
  3. Step 3: Cross multiply
    72,553x = 152,450 × 152,450
  4. Step 4: Simplify right side
    72,553x = 23,241,002,500
  5. Step 5: Solve for x
    x = 23,241,002,500/72,553
  6. Step 6: Final answer
    x = 320,331.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.