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Finding the Third Proportional to 83,055 and 128,950.50

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Solution

The third proportional to 83,055 and 128,950.50 is: 200,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055 : 128,950.50 = 128,950.50 : x
  2. Step 2: Convert to fraction form
    83,055/128,950.50 = 128,950.50/x
  3. Step 3: Cross multiply
    83,055x = 128,950.50 × 128,950.50
  4. Step 4: Simplify right side
    83,055x = 16,628,231,450.25
  5. Step 5: Solve for x
    x = 16,628,231,450.25/83,055
  6. Step 6: Final answer
    x = 200,207.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.