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Finding the Third Proportional to 75,515 and 162,602

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Solution

The third proportional to 75,515 and 162,602 is: 350,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,515 : 162,602 = 162,602 : x
  2. Step 2: Convert to fraction form
    75,515/162,602 = 162,602/x
  3. Step 3: Cross multiply
    75,515x = 162,602 × 162,602
  4. Step 4: Simplify right side
    75,515x = 26,439,410,404
  5. Step 5: Solve for x
    x = 26,439,410,404/75,515
  6. Step 6: Final answer
    x = 350,121.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.