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Finding the Third Proportional to 72,014 and 151,336

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Solution

The third proportional to 72,014 and 151,336 is: 318,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,014 : 151,336 = 151,336 : x
  2. Step 2: Convert to fraction form
    72,014/151,336 = 151,336/x
  3. Step 3: Cross multiply
    72,014x = 151,336 × 151,336
  4. Step 4: Simplify right side
    72,014x = 22,902,584,896
  5. Step 5: Solve for x
    x = 22,902,584,896/72,014
  6. Step 6: Final answer
    x = 318,029.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.