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Finding the Third Proportional to 135,782 and 205,859.50

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Solution

The third proportional to 135,782 and 205,859.50 is: 312,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782 : 205,859.50 = 205,859.50 : x
  2. Step 2: Convert to fraction form
    135,782/205,859.50 = 205,859.50/x
  3. Step 3: Cross multiply
    135,782x = 205,859.50 × 205,859.50
  4. Step 4: Simplify right side
    135,782x = 42,378,133,740.25
  5. Step 5: Solve for x
    x = 42,378,133,740.25/135,782
  6. Step 6: Final answer
    x = 312,104.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.