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Finding the Third Proportional to 75,004 and 164,018

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Solution

The third proportional to 75,004 and 164,018 is: 358,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004 : 164,018 = 164,018 : x
  2. Step 2: Convert to fraction form
    75,004/164,018 = 164,018/x
  3. Step 3: Cross multiply
    75,004x = 164,018 × 164,018
  4. Step 4: Simplify right side
    75,004x = 26,901,904,324
  5. Step 5: Solve for x
    x = 26,901,904,324/75,004
  6. Step 6: Final answer
    x = 358,672.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.