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Finding the Third Proportional to 61,576.13 and 133,272.88

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Solution

The third proportional to 61,576.13 and 133,272.88 is: 288,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,576.13 : 133,272.88 = 133,272.88 : x
  2. Step 2: Convert to fraction form
    61,576.13/133,272.88 = 133,272.88/x
  3. Step 3: Cross multiply
    61,576.13x = 133,272.88 × 133,272.88
  4. Step 4: Simplify right side
    61,576.13x = 17,761,659,210.77
  5. Step 5: Solve for x
    x = 17,761,659,210.77/61,576.13
  6. Step 6: Final answer
    x = 288,450.42

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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.