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Finding the Third Proportional to 62,293.50 and 146,244

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Solution

The third proportional to 62,293.50 and 146,244 is: 343,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,293.50 : 146,244 = 146,244 : x
  2. Step 2: Convert to fraction form
    62,293.50/146,244 = 146,244/x
  3. Step 3: Cross multiply
    62,293.50x = 146,244 × 146,244
  4. Step 4: Simplify right side
    62,293.50x = 21,387,307,536
  5. Step 5: Solve for x
    x = 21,387,307,536/62,293.50
  6. Step 6: Final answer
    x = 343,331.29

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.