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Finding the Third Proportional to 71,838.75 and 153,999.38

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Solution

The third proportional to 71,838.75 and 153,999.38 is: 330,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.75 : 153,999.38 = 153,999.38 : x
  2. Step 2: Convert to fraction form
    71,838.75/153,999.38 = 153,999.38/x
  3. Step 3: Cross multiply
    71,838.75x = 153,999.38 × 153,999.38
  4. Step 4: Simplify right side
    71,838.75x = 23,715,807,500.39
  5. Step 5: Solve for x
    x = 23,715,807,500.39/71,838.75
  6. Step 6: Final answer
    x = 330,125.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.