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Finding the Third Proportional to 111,810 and 164,151

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Solution

The third proportional to 111,810 and 164,151 is: 240,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,810 : 164,151 = 164,151 : x
  2. Step 2: Convert to fraction form
    111,810/164,151 = 164,151/x
  3. Step 3: Cross multiply
    111,810x = 164,151 × 164,151
  4. Step 4: Simplify right side
    111,810x = 26,945,550,801
  5. Step 5: Solve for x
    x = 26,945,550,801/111,810
  6. Step 6: Final answer
    x = 240,994.10

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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.