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Finding the Third Proportional to 76,704 and 166,560

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Solution

The third proportional to 76,704 and 166,560 is: 361,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704 : 166,560 = 166,560 : x
  2. Step 2: Convert to fraction form
    76,704/166,560 = 166,560/x
  3. Step 3: Cross multiply
    76,704x = 166,560 × 166,560
  4. Step 4: Simplify right side
    76,704x = 27,742,233,600
  5. Step 5: Solve for x
    x = 27,742,233,600/76,704
  6. Step 6: Final answer
    x = 361,679.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.