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Finding the Third Proportional to 32,160 and 68,568

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Solution

The third proportional to 32,160 and 68,568 is: 146,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 68,568 = 68,568 : x
  2. Step 2: Convert to fraction form
    32,160/68,568 = 68,568/x
  3. Step 3: Cross multiply
    32,160x = 68,568 × 68,568
  4. Step 4: Simplify right side
    32,160x = 4,701,570,624
  5. Step 5: Solve for x
    x = 4,701,570,624/32,160
  6. Step 6: Final answer
    x = 146,193.12

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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.