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Finding the Third Proportional to 62,581.50 and 115,321.50

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Solution

The third proportional to 62,581.50 and 115,321.50 is: 212,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,581.50 : 115,321.50 = 115,321.50 : x
  2. Step 2: Convert to fraction form
    62,581.50/115,321.50 = 115,321.50/x
  3. Step 3: Cross multiply
    62,581.50x = 115,321.50 × 115,321.50
  4. Step 4: Simplify right side
    62,581.50x = 13,299,048,362.25
  5. Step 5: Solve for x
    x = 13,299,048,362.25/62,581.50
  6. Step 6: Final answer
    x = 212,507.66

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.