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Finding the Third Proportional to 56,485 and 121,714

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Solution

The third proportional to 56,485 and 121,714 is: 262,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,485 : 121,714 = 121,714 : x
  2. Step 2: Convert to fraction form
    56,485/121,714 = 121,714/x
  3. Step 3: Cross multiply
    56,485x = 121,714 × 121,714
  4. Step 4: Simplify right side
    56,485x = 14,814,297,796
  5. Step 5: Solve for x
    x = 14,814,297,796/56,485
  6. Step 6: Final answer
    x = 262,269.59

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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.