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Finding the Third Proportional to 53,788 and 75,234

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Solution

The third proportional to 53,788 and 75,234 is: 105,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788 : 75,234 = 75,234 : x
  2. Step 2: Convert to fraction form
    53,788/75,234 = 75,234/x
  3. Step 3: Cross multiply
    53,788x = 75,234 × 75,234
  4. Step 4: Simplify right side
    53,788x = 5,660,154,756
  5. Step 5: Solve for x
    x = 5,660,154,756/53,788
  6. Step 6: Final answer
    x = 105,230.81

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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.