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Finding the Third Proportional to 62,314.50 and 135,907

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Solution

The third proportional to 62,314.50 and 135,907 is: 296,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314.50 : 135,907 = 135,907 : x
  2. Step 2: Convert to fraction form
    62,314.50/135,907 = 135,907/x
  3. Step 3: Cross multiply
    62,314.50x = 135,907 × 135,907
  4. Step 4: Simplify right side
    62,314.50x = 18,470,712,649
  5. Step 5: Solve for x
    x = 18,470,712,649/62,314.50
  6. Step 6: Final answer
    x = 296,411.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.