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Finding the Third Proportional to 74,188 and 164,964

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Solution

The third proportional to 74,188 and 164,964 is: 366,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188 : 164,964 = 164,964 : x
  2. Step 2: Convert to fraction form
    74,188/164,964 = 164,964/x
  3. Step 3: Cross multiply
    74,188x = 164,964 × 164,964
  4. Step 4: Simplify right side
    74,188x = 27,213,121,296
  5. Step 5: Solve for x
    x = 27,213,121,296/74,188
  6. Step 6: Final answer
    x = 366,812.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.