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Finding the Third Proportional to 106,360 and 164,668

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Solution

The third proportional to 106,360 and 164,668 is: 254,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360 : 164,668 = 164,668 : x
  2. Step 2: Convert to fraction form
    106,360/164,668 = 164,668/x
  3. Step 3: Cross multiply
    106,360x = 164,668 × 164,668
  4. Step 4: Simplify right side
    106,360x = 27,115,550,224
  5. Step 5: Solve for x
    x = 27,115,550,224/106,360
  6. Step 6: Final answer
    x = 254,941.24

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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.