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Finding the Third Proportional to 30,188 and 64,999

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Solution

The third proportional to 30,188 and 64,999 is: 139,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188 : 64,999 = 64,999 : x
  2. Step 2: Convert to fraction form
    30,188/64,999 = 64,999/x
  3. Step 3: Cross multiply
    30,188x = 64,999 × 64,999
  4. Step 4: Simplify right side
    30,188x = 4,224,870,001
  5. Step 5: Solve for x
    x = 4,224,870,001/30,188
  6. Step 6: Final answer
    x = 139,951.97

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