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Finding the Third Proportional to 61,315.31 and 132,305.06

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Solution

The third proportional to 61,315.31 and 132,305.06 is: 285,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,315.31 : 132,305.06 = 132,305.06 : x
  2. Step 2: Convert to fraction form
    61,315.31/132,305.06 = 132,305.06/x
  3. Step 3: Cross multiply
    61,315.31x = 132,305.06 × 132,305.06
  4. Step 4: Simplify right side
    61,315.31x = 17,504,629,563.13
  5. Step 5: Solve for x
    x = 17,504,629,563.13/61,315.31
  6. Step 6: Final answer
    x = 285,485.45

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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.