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Finding the Third Proportional to 107,406 and 145,800

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Solution

The third proportional to 107,406 and 145,800 is: 197,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,406 : 145,800 = 145,800 : x
  2. Step 2: Convert to fraction form
    107,406/145,800 = 145,800/x
  3. Step 3: Cross multiply
    107,406x = 145,800 × 145,800
  4. Step 4: Simplify right side
    107,406x = 21,257,640,000
  5. Step 5: Solve for x
    x = 21,257,640,000/107,406
  6. Step 6: Final answer
    x = 197,918.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.