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Finding the Third Proportional to 75,457 and 164,018

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Solution

The third proportional to 75,457 and 164,018 is: 356,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,457 : 164,018 = 164,018 : x
  2. Step 2: Convert to fraction form
    75,457/164,018 = 164,018/x
  3. Step 3: Cross multiply
    75,457x = 164,018 × 164,018
  4. Step 4: Simplify right side
    75,457x = 26,901,904,324
  5. Step 5: Solve for x
    x = 26,901,904,324/75,457
  6. Step 6: Final answer
    x = 356,519.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.