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Finding the Third Proportional to 32,653 and 68,132

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Solution

The third proportional to 32,653 and 68,132 is: 142,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653 : 68,132 = 68,132 : x
  2. Step 2: Convert to fraction form
    32,653/68,132 = 68,132/x
  3. Step 3: Cross multiply
    32,653x = 68,132 × 68,132
  4. Step 4: Simplify right side
    32,653x = 4,641,969,424
  5. Step 5: Solve for x
    x = 4,641,969,424/32,653
  6. Step 6: Final answer
    x = 142,160.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.