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Finding the Third Proportional to 75,544 and 105,608

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Solution

The third proportional to 75,544 and 105,608 is: 147,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,544 : 105,608 = 105,608 : x
  2. Step 2: Convert to fraction form
    75,544/105,608 = 105,608/x
  3. Step 3: Cross multiply
    75,544x = 105,608 × 105,608
  4. Step 4: Simplify right side
    75,544x = 11,153,049,664
  5. Step 5: Solve for x
    x = 11,153,049,664/75,544
  6. Step 6: Final answer
    x = 147,636.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.