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Finding the Third Proportional to 111,793 and 164,125

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Solution

The third proportional to 111,793 and 164,125 is: 240,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,793 : 164,125 = 164,125 : x
  2. Step 2: Convert to fraction form
    111,793/164,125 = 164,125/x
  3. Step 3: Cross multiply
    111,793x = 164,125 × 164,125
  4. Step 4: Simplify right side
    111,793x = 26,937,015,625
  5. Step 5: Solve for x
    x = 26,937,015,625/111,793
  6. Step 6: Final answer
    x = 240,954.40

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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.