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Finding the Third Proportional to 62,284.50 and 146,222.75

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Solution

The third proportional to 62,284.50 and 146,222.75 is: 343,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,284.50 : 146,222.75 = 146,222.75 : x
  2. Step 2: Convert to fraction form
    62,284.50/146,222.75 = 146,222.75/x
  3. Step 3: Cross multiply
    62,284.50x = 146,222.75 × 146,222.75
  4. Step 4: Simplify right side
    62,284.50x = 21,381,092,617.56
  5. Step 5: Solve for x
    x = 21,381,092,617.56/62,284.50
  6. Step 6: Final answer
    x = 343,281.12

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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.