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Finding the Third Proportional to 65,761.88 and 141,785.44

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Solution

The third proportional to 65,761.88 and 141,785.44 is: 305,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.88 : 141,785.44 = 141,785.44 : x
  2. Step 2: Convert to fraction form
    65,761.88/141,785.44 = 141,785.44/x
  3. Step 3: Cross multiply
    65,761.88x = 141,785.44 × 141,785.44
  4. Step 4: Simplify right side
    65,761.88x = 20,103,110,287.07
  5. Step 5: Solve for x
    x = 20,103,110,287.07/65,761.88
  6. Step 6: Final answer
    x = 305,695.52

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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.