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Finding the Third Proportional to 56,462 and 120,424

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Solution

The third proportional to 56,462 and 120,424 is: 256,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462 : 120,424 = 120,424 : x
  2. Step 2: Convert to fraction form
    56,462/120,424 = 120,424/x
  3. Step 3: Cross multiply
    56,462x = 120,424 × 120,424
  4. Step 4: Simplify right side
    56,462x = 14,501,939,776
  5. Step 5: Solve for x
    x = 14,501,939,776/56,462
  6. Step 6: Final answer
    x = 256,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.