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Finding the Third Proportional to 72,132 and 155,760

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Solution

The third proportional to 72,132 and 155,760 is: 336,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,132 : 155,760 = 155,760 : x
  2. Step 2: Convert to fraction form
    72,132/155,760 = 155,760/x
  3. Step 3: Cross multiply
    72,132x = 155,760 × 155,760
  4. Step 4: Simplify right side
    72,132x = 24,261,177,600
  5. Step 5: Solve for x
    x = 24,261,177,600/72,132
  6. Step 6: Final answer
    x = 336,344.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.