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Finding the Third Proportional to 52,152 and 112,166

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Solution

The third proportional to 52,152 and 112,166 is: 241,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152 : 112,166 = 112,166 : x
  2. Step 2: Convert to fraction form
    52,152/112,166 = 112,166/x
  3. Step 3: Cross multiply
    52,152x = 112,166 × 112,166
  4. Step 4: Simplify right side
    52,152x = 12,581,211,556
  5. Step 5: Solve for x
    x = 12,581,211,556/52,152
  6. Step 6: Final answer
    x = 241,241.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.