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Finding the Third Proportional to 68,432.03 and 146,321.12

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Solution

The third proportional to 68,432.03 and 146,321.12 is: 312,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,432.03 : 146,321.12 = 146,321.12 : x
  2. Step 2: Convert to fraction form
    68,432.03/146,321.12 = 146,321.12/x
  3. Step 3: Cross multiply
    68,432.03x = 146,321.12 × 146,321.12
  4. Step 4: Simplify right side
    68,432.03x = 21,409,870,478.13
  5. Step 5: Solve for x
    x = 21,409,870,478.13/68,432.03
  6. Step 6: Final answer
    x = 312,863.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.