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Finding the Third Proportional to 75,505 and 105,833

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Solution

The third proportional to 75,505 and 105,833 is: 148,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505 : 105,833 = 105,833 : x
  2. Step 2: Convert to fraction form
    75,505/105,833 = 105,833/x
  3. Step 3: Cross multiply
    75,505x = 105,833 × 105,833
  4. Step 4: Simplify right side
    75,505x = 11,200,623,889
  5. Step 5: Solve for x
    x = 11,200,623,889/75,505
  6. Step 6: Final answer
    x = 148,342.81

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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.