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Finding the Third Proportional to 61,664.63 and 132,077.25

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Solution

The third proportional to 61,664.63 and 132,077.25 is: 282,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664.63 : 132,077.25 = 132,077.25 : x
  2. Step 2: Convert to fraction form
    61,664.63/132,077.25 = 132,077.25/x
  3. Step 3: Cross multiply
    61,664.63x = 132,077.25 × 132,077.25
  4. Step 4: Simplify right side
    61,664.63x = 17,444,399,967.56
  5. Step 5: Solve for x
    x = 17,444,399,967.56/61,664.63
  6. Step 6: Final answer
    x = 282,891.53

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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.