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Finding the Third Proportional to 57,140 and 122,864

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Solution

The third proportional to 57,140 and 122,864 is: 264,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140 : 122,864 = 122,864 : x
  2. Step 2: Convert to fraction form
    57,140/122,864 = 122,864/x
  3. Step 3: Cross multiply
    57,140x = 122,864 × 122,864
  4. Step 4: Simplify right side
    57,140x = 15,095,562,496
  5. Step 5: Solve for x
    x = 15,095,562,496/57,140
  6. Step 6: Final answer
    x = 264,185.55

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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.