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Finding the Third Proportional to 76,311.75 and 163,695.38

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Solution

The third proportional to 76,311.75 and 163,695.38 is: 351,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311.75 : 163,695.38 = 163,695.38 : x
  2. Step 2: Convert to fraction form
    76,311.75/163,695.38 = 163,695.38/x
  3. Step 3: Cross multiply
    76,311.75x = 163,695.38 × 163,695.38
  4. Step 4: Simplify right side
    76,311.75x = 26,796,175,796.39
  5. Step 5: Solve for x
    x = 26,796,175,796.39/76,311.75
  6. Step 6: Final answer
    x = 351,140.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.