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Finding the Third Proportional to 75,675 and 162,216

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Solution

The third proportional to 75,675 and 162,216 is: 347,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675 : 162,216 = 162,216 : x
  2. Step 2: Convert to fraction form
    75,675/162,216 = 162,216/x
  3. Step 3: Cross multiply
    75,675x = 162,216 × 162,216
  4. Step 4: Simplify right side
    75,675x = 26,314,030,656
  5. Step 5: Solve for x
    x = 26,314,030,656/75,675
  6. Step 6: Final answer
    x = 347,724.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.