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Finding the Third Proportional to 32,099 and 74,999

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Solution

The third proportional to 32,099 and 74,999 is: 175,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099 : 74,999 = 74,999 : x
  2. Step 2: Convert to fraction form
    32,099/74,999 = 74,999/x
  3. Step 3: Cross multiply
    32,099x = 74,999 × 74,999
  4. Step 4: Simplify right side
    32,099x = 5,624,850,001
  5. Step 5: Solve for x
    x = 5,624,850,001/32,099
  6. Step 6: Final answer
    x = 175,234.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.