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Finding the Third Proportional to 57,283.50 and 125,639.25

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Solution

The third proportional to 57,283.50 and 125,639.25 is: 275,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.50 : 125,639.25 = 125,639.25 : x
  2. Step 2: Convert to fraction form
    57,283.50/125,639.25 = 125,639.25/x
  3. Step 3: Cross multiply
    57,283.50x = 125,639.25 × 125,639.25
  4. Step 4: Simplify right side
    57,283.50x = 15,785,221,140.56
  5. Step 5: Solve for x
    x = 15,785,221,140.56/57,283.50
  6. Step 6: Final answer
    x = 275,563.14

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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.