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Finding the Third Proportional to 52,225 and 107,216

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Solution

The third proportional to 52,225 and 107,216 is: 220,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,225 : 107,216 = 107,216 : x
  2. Step 2: Convert to fraction form
    52,225/107,216 = 107,216/x
  3. Step 3: Cross multiply
    52,225x = 107,216 × 107,216
  4. Step 4: Simplify right side
    52,225x = 11,495,270,656
  5. Step 5: Solve for x
    x = 11,495,270,656/52,225
  6. Step 6: Final answer
    x = 220,110.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.