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Finding the Third Proportional to 55,815 and 83,902.50

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Solution

The third proportional to 55,815 and 83,902.50 is: 126,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,815 : 83,902.50 = 83,902.50 : x
  2. Step 2: Convert to fraction form
    55,815/83,902.50 = 83,902.50/x
  3. Step 3: Cross multiply
    55,815x = 83,902.50 × 83,902.50
  4. Step 4: Simplify right side
    55,815x = 7,039,629,506.25
  5. Step 5: Solve for x
    x = 7,039,629,506.25/55,815
  6. Step 6: Final answer
    x = 126,124.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.