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Finding the Third Proportional to 75,451 and 105,752

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Solution

The third proportional to 75,451 and 105,752 is: 148,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451 : 105,752 = 105,752 : x
  2. Step 2: Convert to fraction form
    75,451/105,752 = 105,752/x
  3. Step 3: Cross multiply
    75,451x = 105,752 × 105,752
  4. Step 4: Simplify right side
    75,451x = 11,183,485,504
  5. Step 5: Solve for x
    x = 11,183,485,504/75,451
  6. Step 6: Final answer
    x = 148,221.83

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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.