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Finding the Third Proportional to 32,132 and 68,454

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Solution

The third proportional to 32,132 and 68,454 is: 145,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132 : 68,454 = 68,454 : x
  2. Step 2: Convert to fraction form
    32,132/68,454 = 68,454/x
  3. Step 3: Cross multiply
    32,132x = 68,454 × 68,454
  4. Step 4: Simplify right side
    32,132x = 4,685,950,116
  5. Step 5: Solve for x
    x = 4,685,950,116/32,132
  6. Step 6: Final answer
    x = 145,834.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.