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Finding the Third Proportional to 56,710 and 122,086

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Solution

The third proportional to 56,710 and 122,086 is: 262,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710 : 122,086 = 122,086 : x
  2. Step 2: Convert to fraction form
    56,710/122,086 = 122,086/x
  3. Step 3: Cross multiply
    56,710x = 122,086 × 122,086
  4. Step 4: Simplify right side
    56,710x = 14,904,991,396
  5. Step 5: Solve for x
    x = 14,904,991,396/56,710
  6. Step 6: Final answer
    x = 262,828.27

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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.