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Finding the Third Proportional to 68,731.03 and 146,825.16

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Solution

The third proportional to 68,731.03 and 146,825.16 is: 313,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,731.03 : 146,825.16 = 146,825.16 : x
  2. Step 2: Convert to fraction form
    68,731.03/146,825.16 = 146,825.16/x
  3. Step 3: Cross multiply
    68,731.03x = 146,825.16 × 146,825.16
  4. Step 4: Simplify right side
    68,731.03x = 21,557,626,507.84
  5. Step 5: Solve for x
    x = 21,557,626,507.84/68,731.03
  6. Step 6: Final answer
    x = 313,652.02

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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.