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Finding the Third Proportional to 62,024.50 and 135,869.25

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Solution

The third proportional to 62,024.50 and 135,869.25 is: 297,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,024.50 : 135,869.25 = 135,869.25 : x
  2. Step 2: Convert to fraction form
    62,024.50/135,869.25 = 135,869.25/x
  3. Step 3: Cross multiply
    62,024.50x = 135,869.25 × 135,869.25
  4. Step 4: Simplify right side
    62,024.50x = 18,460,453,095.56
  5. Step 5: Solve for x
    x = 18,460,453,095.56/62,024.50
  6. Step 6: Final answer
    x = 297,631.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.