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Finding the Third Proportional to 57,048.75 and 123,755.63

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Solution

The third proportional to 57,048.75 and 123,755.63 is: 268,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,048.75 : 123,755.63 = 123,755.63 : x
  2. Step 2: Convert to fraction form
    57,048.75/123,755.63 = 123,755.63/x
  3. Step 3: Cross multiply
    57,048.75x = 123,755.63 × 123,755.63
  4. Step 4: Simplify right side
    57,048.75x = 15,315,454,719.14
  5. Step 5: Solve for x
    x = 15,315,454,719.14/57,048.75
  6. Step 6: Final answer
    x = 268,462.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.