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Finding the Third Proportional to 102,832 and 162,960

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Solution

The third proportional to 102,832 and 162,960 is: 258,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,832 : 162,960 = 162,960 : x
  2. Step 2: Convert to fraction form
    102,832/162,960 = 162,960/x
  3. Step 3: Cross multiply
    102,832x = 162,960 × 162,960
  4. Step 4: Simplify right side
    102,832x = 26,555,961,600
  5. Step 5: Solve for x
    x = 26,555,961,600/102,832
  6. Step 6: Final answer
    x = 258,246.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.