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Finding the Third Proportional to 57,057.75 and 125,779.50

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Solution

The third proportional to 57,057.75 and 125,779.50 is: 277,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057.75 : 125,779.50 = 125,779.50 : x
  2. Step 2: Convert to fraction form
    57,057.75/125,779.50 = 125,779.50/x
  3. Step 3: Cross multiply
    57,057.75x = 125,779.50 × 125,779.50
  4. Step 4: Simplify right side
    57,057.75x = 15,820,482,620.25
  5. Step 5: Solve for x
    x = 15,820,482,620.25/57,057.75
  6. Step 6: Final answer
    x = 277,271.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.