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Finding the Third Proportional to 84,124.50 and 194,759.25

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Solution

The third proportional to 84,124.50 and 194,759.25 is: 450,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,124.50 : 194,759.25 = 194,759.25 : x
  2. Step 2: Convert to fraction form
    84,124.50/194,759.25 = 194,759.25/x
  3. Step 3: Cross multiply
    84,124.50x = 194,759.25 × 194,759.25
  4. Step 4: Simplify right side
    84,124.50x = 37,931,165,460.56
  5. Step 5: Solve for x
    x = 37,931,165,460.56/84,124.50
  6. Step 6: Final answer
    x = 450,893.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.