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Finding the Third Proportional to 75,753 and 118,836

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Solution

The third proportional to 75,753 and 118,836 is: 186,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,753 : 118,836 = 118,836 : x
  2. Step 2: Convert to fraction form
    75,753/118,836 = 118,836/x
  3. Step 3: Cross multiply
    75,753x = 118,836 × 118,836
  4. Step 4: Simplify right side
    75,753x = 14,121,994,896
  5. Step 5: Solve for x
    x = 14,121,994,896/75,753
  6. Step 6: Final answer
    x = 186,421.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.