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Finding the Third Proportional to 55,903.50 and 83,909.25

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Solution

The third proportional to 55,903.50 and 83,909.25 is: 125,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,903.50 : 83,909.25 = 83,909.25 : x
  2. Step 2: Convert to fraction form
    55,903.50/83,909.25 = 83,909.25/x
  3. Step 3: Cross multiply
    55,903.50x = 83,909.25 × 83,909.25
  4. Step 4: Simplify right side
    55,903.50x = 7,040,762,235.56
  5. Step 5: Solve for x
    x = 7,040,762,235.56/55,903.50
  6. Step 6: Final answer
    x = 125,944.93

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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.