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Finding the Third Proportional to 57,501.75 and 134,313

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Solution

The third proportional to 57,501.75 and 134,313 is: 313,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,501.75 : 134,313 = 134,313 : x
  2. Step 2: Convert to fraction form
    57,501.75/134,313 = 134,313/x
  3. Step 3: Cross multiply
    57,501.75x = 134,313 × 134,313
  4. Step 4: Simplify right side
    57,501.75x = 18,039,981,969
  5. Step 5: Solve for x
    x = 18,039,981,969/57,501.75
  6. Step 6: Final answer
    x = 313,729.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.