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Finding the Third Proportional to 76,996 and 168,704

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Solution

The third proportional to 76,996 and 168,704 is: 369,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996 : 168,704 = 168,704 : x
  2. Step 2: Convert to fraction form
    76,996/168,704 = 168,704/x
  3. Step 3: Cross multiply
    76,996x = 168,704 × 168,704
  4. Step 4: Simplify right side
    76,996x = 28,461,039,616
  5. Step 5: Solve for x
    x = 28,461,039,616/76,996
  6. Step 6: Final answer
    x = 369,643.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.