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Finding the Third Proportional to 57,300.75 and 124,767

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Solution

The third proportional to 57,300.75 and 124,767 is: 271,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,300.75 : 124,767 = 124,767 : x
  2. Step 2: Convert to fraction form
    57,300.75/124,767 = 124,767/x
  3. Step 3: Cross multiply
    57,300.75x = 124,767 × 124,767
  4. Step 4: Simplify right side
    57,300.75x = 15,566,804,289
  5. Step 5: Solve for x
    x = 15,566,804,289/57,300.75
  6. Step 6: Final answer
    x = 271,668.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.