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Finding the Third Proportional to 75,045 and 105,546

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Solution

The third proportional to 75,045 and 105,546 is: 148,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,045 : 105,546 = 105,546 : x
  2. Step 2: Convert to fraction form
    75,045/105,546 = 105,546/x
  3. Step 3: Cross multiply
    75,045x = 105,546 × 105,546
  4. Step 4: Simplify right side
    75,045x = 11,139,958,116
  5. Step 5: Solve for x
    x = 11,139,958,116/75,045
  6. Step 6: Final answer
    x = 148,443.71

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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.