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Finding the Third Proportional to 56,175 and 120,018

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Solution

The third proportional to 56,175 and 120,018 is: 256,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,175 : 120,018 = 120,018 : x
  2. Step 2: Convert to fraction form
    56,175/120,018 = 120,018/x
  3. Step 3: Cross multiply
    56,175x = 120,018 × 120,018
  4. Step 4: Simplify right side
    56,175x = 14,404,320,324
  5. Step 5: Solve for x
    x = 14,404,320,324/56,175
  6. Step 6: Final answer
    x = 256,418.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.