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Finding the Third Proportional to 72,456 and 152,790

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Solution

The third proportional to 72,456 and 152,790 is: 322,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,456 : 152,790 = 152,790 : x
  2. Step 2: Convert to fraction form
    72,456/152,790 = 152,790/x
  3. Step 3: Cross multiply
    72,456x = 152,790 × 152,790
  4. Step 4: Simplify right side
    72,456x = 23,344,784,100
  5. Step 5: Solve for x
    x = 23,344,784,100/72,456
  6. Step 6: Final answer
    x = 322,192.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.