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Finding the Third Proportional to 76,929 and 111,999

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Solution

The third proportional to 76,929 and 111,999 is: 163,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,929 : 111,999 = 111,999 : x
  2. Step 2: Convert to fraction form
    76,929/111,999 = 111,999/x
  3. Step 3: Cross multiply
    76,929x = 111,999 × 111,999
  4. Step 4: Simplify right side
    76,929x = 12,543,776,001
  5. Step 5: Solve for x
    x = 12,543,776,001/76,929
  6. Step 6: Final answer
    x = 163,056.53

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