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Finding the Third Proportional to 109,110 and 168,485

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Solution

The third proportional to 109,110 and 168,485 is: 260,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,110 : 168,485 = 168,485 : x
  2. Step 2: Convert to fraction form
    109,110/168,485 = 168,485/x
  3. Step 3: Cross multiply
    109,110x = 168,485 × 168,485
  4. Step 4: Simplify right side
    109,110x = 28,387,195,225
  5. Step 5: Solve for x
    x = 28,387,195,225/109,110
  6. Step 6: Final answer
    x = 260,170.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.