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Finding the Third Proportional to 76,648 and 111,996

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Solution

The third proportional to 76,648 and 111,996 is: 163,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648 : 111,996 = 111,996 : x
  2. Step 2: Convert to fraction form
    76,648/111,996 = 111,996/x
  3. Step 3: Cross multiply
    76,648x = 111,996 × 111,996
  4. Step 4: Simplify right side
    76,648x = 12,543,104,016
  5. Step 5: Solve for x
    x = 12,543,104,016/76,648
  6. Step 6: Final answer
    x = 163,645.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.