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Finding the Third Proportional to 72,473.25 and 162,759

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Solution

The third proportional to 72,473.25 and 162,759 is: 365,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,473.25 : 162,759 = 162,759 : x
  2. Step 2: Convert to fraction form
    72,473.25/162,759 = 162,759/x
  3. Step 3: Cross multiply
    72,473.25x = 162,759 × 162,759
  4. Step 4: Simplify right side
    72,473.25x = 26,490,492,081
  5. Step 5: Solve for x
    x = 26,490,492,081/72,473.25
  6. Step 6: Final answer
    x = 365,520.96

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.