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Finding the Third Proportional to 87,756 and 134,914.50

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Solution

The third proportional to 87,756 and 134,914.50 is: 207,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,756 : 134,914.50 = 134,914.50 : x
  2. Step 2: Convert to fraction form
    87,756/134,914.50 = 134,914.50/x
  3. Step 3: Cross multiply
    87,756x = 134,914.50 × 134,914.50
  4. Step 4: Simplify right side
    87,756x = 18,201,922,310.25
  5. Step 5: Solve for x
    x = 18,201,922,310.25/87,756
  6. Step 6: Final answer
    x = 207,415.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.