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Finding the Third Proportional to 56,120.50 and 86,256

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Solution

The third proportional to 56,120.50 and 86,256 is: 132,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,120.50 : 86,256 = 86,256 : x
  2. Step 2: Convert to fraction form
    56,120.50/86,256 = 86,256/x
  3. Step 3: Cross multiply
    56,120.50x = 86,256 × 86,256
  4. Step 4: Simplify right side
    56,120.50x = 7,440,097,536
  5. Step 5: Solve for x
    x = 7,440,097,536/56,120.50
  6. Step 6: Final answer
    x = 132,573.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.