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Finding the Third Proportional to 65,959.31 and 142,181.58

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Solution

The third proportional to 65,959.31 and 142,181.58 is: 306,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,959.31 : 142,181.58 = 142,181.58 : x
  2. Step 2: Convert to fraction form
    65,959.31/142,181.58 = 142,181.58/x
  3. Step 3: Cross multiply
    65,959.31x = 142,181.58 × 142,181.58
  4. Step 4: Simplify right side
    65,959.31x = 20,215,601,158.12
  5. Step 5: Solve for x
    x = 20,215,601,158.12/65,959.31
  6. Step 6: Final answer
    x = 306,485.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.