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Finding the Third Proportional to 57,509.50 and 125,680.50

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Solution

The third proportional to 57,509.50 and 125,680.50 is: 274,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.50 : 125,680.50 = 125,680.50 : x
  2. Step 2: Convert to fraction form
    57,509.50/125,680.50 = 125,680.50/x
  3. Step 3: Cross multiply
    57,509.50x = 125,680.50 × 125,680.50
  4. Step 4: Simplify right side
    57,509.50x = 15,795,588,080.25
  5. Step 5: Solve for x
    x = 15,795,588,080.25/57,509.50
  6. Step 6: Final answer
    x = 274,660.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.