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Finding the Third Proportional to 74,110.25 and 164,801.46

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Solution

The third proportional to 74,110.25 and 164,801.46 is: 366,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,110.25 : 164,801.46 = 164,801.46 : x
  2. Step 2: Convert to fraction form
    74,110.25/164,801.46 = 164,801.46/x
  3. Step 3: Cross multiply
    74,110.25x = 164,801.46 × 164,801.46
  4. Step 4: Simplify right side
    74,110.25x = 27,159,521,527.13
  5. Step 5: Solve for x
    x = 27,159,521,527.13/74,110.25
  6. Step 6: Final answer
    x = 366,474.54

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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.