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Finding the Third Proportional to 72,675 and 162,357

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Solution

The third proportional to 72,675 and 162,357 is: 362,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675 : 162,357 = 162,357 : x
  2. Step 2: Convert to fraction form
    72,675/162,357 = 162,357/x
  3. Step 3: Cross multiply
    72,675x = 162,357 × 162,357
  4. Step 4: Simplify right side
    72,675x = 26,359,795,449
  5. Step 5: Solve for x
    x = 26,359,795,449/72,675
  6. Step 6: Final answer
    x = 362,707.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.