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Finding the Third Proportional to 106,824 and 165,354

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Solution

The third proportional to 106,824 and 165,354 is: 255,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824 : 165,354 = 165,354 : x
  2. Step 2: Convert to fraction form
    106,824/165,354 = 165,354/x
  3. Step 3: Cross multiply
    106,824x = 165,354 × 165,354
  4. Step 4: Simplify right side
    106,824x = 27,341,945,316
  5. Step 5: Solve for x
    x = 27,341,945,316/106,824
  6. Step 6: Final answer
    x = 255,953.21

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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.