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Finding the Third Proportional to 106,362 and 164,670

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Solution

The third proportional to 106,362 and 164,670 is: 254,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,362 : 164,670 = 164,670 : x
  2. Step 2: Convert to fraction form
    106,362/164,670 = 164,670/x
  3. Step 3: Cross multiply
    106,362x = 164,670 × 164,670
  4. Step 4: Simplify right side
    106,362x = 27,116,208,900
  5. Step 5: Solve for x
    x = 27,116,208,900/106,362
  6. Step 6: Final answer
    x = 254,942.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.