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Finding the Third Proportional to 76,068 and 156,984

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Solution

The third proportional to 76,068 and 156,984 is: 323,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068 : 156,984 = 156,984 : x
  2. Step 2: Convert to fraction form
    76,068/156,984 = 156,984/x
  3. Step 3: Cross multiply
    76,068x = 156,984 × 156,984
  4. Step 4: Simplify right side
    76,068x = 24,643,976,256
  5. Step 5: Solve for x
    x = 24,643,976,256/76,068
  6. Step 6: Final answer
    x = 323,972.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.