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Finding the Third Proportional to 75,008 and 105,494

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Solution

The third proportional to 75,008 and 105,494 is: 148,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 105,494 = 105,494 : x
  2. Step 2: Convert to fraction form
    75,008/105,494 = 105,494/x
  3. Step 3: Cross multiply
    75,008x = 105,494 × 105,494
  4. Step 4: Simplify right side
    75,008x = 11,128,984,036
  5. Step 5: Solve for x
    x = 11,128,984,036/75,008
  6. Step 6: Final answer
    x = 148,370.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.