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Finding the Third Proportional to 106,981 and 165,563

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Solution

The third proportional to 106,981 and 165,563 is: 256,224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,981 : 165,563 = 165,563 : x
  2. Step 2: Convert to fraction form
    106,981/165,563 = 165,563/x
  3. Step 3: Cross multiply
    106,981x = 165,563 × 165,563
  4. Step 4: Simplify right side
    106,981x = 27,411,106,969
  5. Step 5: Solve for x
    x = 27,411,106,969/106,981
  6. Step 6: Final answer
    x = 256,224.07

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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.