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Finding the Third Proportional to 56,165 and 122,172

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Solution

The third proportional to 56,165 and 122,172 is: 265,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165 : 122,172 = 122,172 : x
  2. Step 2: Convert to fraction form
    56,165/122,172 = 122,172/x
  3. Step 3: Cross multiply
    56,165x = 122,172 × 122,172
  4. Step 4: Simplify right side
    56,165x = 14,925,997,584
  5. Step 5: Solve for x
    x = 14,925,997,584/56,165
  6. Step 6: Final answer
    x = 265,752.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.