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Finding the Third Proportional to 56,101 and 86,225

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Solution

The third proportional to 56,101 and 86,225 is: 132,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101 : 86,225 = 86,225 : x
  2. Step 2: Convert to fraction form
    56,101/86,225 = 86,225/x
  3. Step 3: Cross multiply
    56,101x = 86,225 × 86,225
  4. Step 4: Simplify right side
    56,101x = 7,434,750,625
  5. Step 5: Solve for x
    x = 7,434,750,625/56,101
  6. Step 6: Final answer
    x = 132,524.39

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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.