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Finding the Third Proportional to 55,422.75 and 84,759.75

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Solution

The third proportional to 55,422.75 and 84,759.75 is: 129,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422.75 : 84,759.75 = 84,759.75 : x
  2. Step 2: Convert to fraction form
    55,422.75/84,759.75 = 84,759.75/x
  3. Step 3: Cross multiply
    55,422.75x = 84,759.75 × 84,759.75
  4. Step 4: Simplify right side
    55,422.75x = 7,184,215,220.06
  5. Step 5: Solve for x
    x = 7,184,215,220.06/55,422.75
  6. Step 6: Final answer
    x = 129,625.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.