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Finding the Third Proportional to 53,406 and 75,125

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Solution

The third proportional to 53,406 and 75,125 is: 105,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406 : 75,125 = 75,125 : x
  2. Step 2: Convert to fraction form
    53,406/75,125 = 75,125/x
  3. Step 3: Cross multiply
    53,406x = 75,125 × 75,125
  4. Step 4: Simplify right side
    53,406x = 5,643,765,625
  5. Step 5: Solve for x
    x = 5,643,765,625/53,406
  6. Step 6: Final answer
    x = 105,676.62

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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.