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Finding the Third Proportional to 57,313.75 and 124,509.50

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Solution

The third proportional to 57,313.75 and 124,509.50 is: 270,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313.75 : 124,509.50 = 124,509.50 : x
  2. Step 2: Convert to fraction form
    57,313.75/124,509.50 = 124,509.50/x
  3. Step 3: Cross multiply
    57,313.75x = 124,509.50 × 124,509.50
  4. Step 4: Simplify right side
    57,313.75x = 15,502,615,590.25
  5. Step 5: Solve for x
    x = 15,502,615,590.25/57,313.75
  6. Step 6: Final answer
    x = 270,486.85

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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.