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Finding the Third Proportional to 56,096 and 86,220

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Solution

The third proportional to 56,096 and 86,220 is: 132,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 86,220 = 86,220 : x
  2. Step 2: Convert to fraction form
    56,096/86,220 = 86,220/x
  3. Step 3: Cross multiply
    56,096x = 86,220 × 86,220
  4. Step 4: Simplify right side
    56,096x = 7,433,888,400
  5. Step 5: Solve for x
    x = 7,433,888,400/56,096
  6. Step 6: Final answer
    x = 132,520.83

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Why These Related Problems?

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