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Finding the Third Proportional to 32,080 and 68,704

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Solution

The third proportional to 32,080 and 68,704 is: 147,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 68,704 = 68,704 : x
  2. Step 2: Convert to fraction form
    32,080/68,704 = 68,704/x
  3. Step 3: Cross multiply
    32,080x = 68,704 × 68,704
  4. Step 4: Simplify right side
    32,080x = 4,720,239,616
  5. Step 5: Solve for x
    x = 4,720,239,616/32,080
  6. Step 6: Final answer
    x = 147,139.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.