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Finding the Third Proportional to 75,756 and 118,842

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Solution

The third proportional to 75,756 and 118,842 is: 186,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,756 : 118,842 = 118,842 : x
  2. Step 2: Convert to fraction form
    75,756/118,842 = 118,842/x
  3. Step 3: Cross multiply
    75,756x = 118,842 × 118,842
  4. Step 4: Simplify right side
    75,756x = 14,123,420,964
  5. Step 5: Solve for x
    x = 14,123,420,964/75,756
  6. Step 6: Final answer
    x = 186,433.03

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Why These Related Problems?

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