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Finding the Third Proportional to 61,283.55 and 132,414.31

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Solution

The third proportional to 61,283.55 and 132,414.31 is: 286,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,283.55 : 132,414.31 = 132,414.31 : x
  2. Step 2: Convert to fraction form
    61,283.55/132,414.31 = 132,414.31/x
  3. Step 3: Cross multiply
    61,283.55x = 132,414.31 × 132,414.31
  4. Step 4: Simplify right side
    61,283.55x = 17,533,550,474.09
  5. Step 5: Solve for x
    x = 17,533,550,474.09/61,283.55
  6. Step 6: Final answer
    x = 286,105.32

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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.