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Finding the Third Proportional to 61,506.09 and 132,445.31

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Solution

The third proportional to 61,506.09 and 132,445.31 is: 285,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,506.09 : 132,445.31 = 132,445.31 : x
  2. Step 2: Convert to fraction form
    61,506.09/132,445.31 = 132,445.31/x
  3. Step 3: Cross multiply
    61,506.09x = 132,445.31 × 132,445.31
  4. Step 4: Simplify right side
    61,506.09x = 17,541,760,803.22
  5. Step 5: Solve for x
    x = 17,541,760,803.22/61,506.09
  6. Step 6: Final answer
    x = 285,203.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.