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Finding the Third Proportional to 74,106 and 164,791.50

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Solution

The third proportional to 74,106 and 164,791.50 is: 366,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,106 : 164,791.50 = 164,791.50 : x
  2. Step 2: Convert to fraction form
    74,106/164,791.50 = 164,791.50/x
  3. Step 3: Cross multiply
    74,106x = 164,791.50 × 164,791.50
  4. Step 4: Simplify right side
    74,106x = 27,156,238,472.25
  5. Step 5: Solve for x
    x = 27,156,238,472.25/74,106
  6. Step 6: Final answer
    x = 366,451.28

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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.