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Finding the Third Proportional to 111,947.06 and 164,640.09

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Solution

The third proportional to 111,947.06 and 164,640.09 is: 242,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,947.06 : 164,640.09 = 164,640.09 : x
  2. Step 2: Convert to fraction form
    111,947.06/164,640.09 = 164,640.09/x
  3. Step 3: Cross multiply
    111,947.06x = 164,640.09 × 164,640.09
  4. Step 4: Simplify right side
    111,947.06x = 27,106,360,470.01
  5. Step 5: Solve for x
    x = 27,106,360,470.01/111,947.06
  6. Step 6: Final answer
    x = 242,135.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.