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Finding the Third Proportional to 124,673.75 and 274,255

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Solution

The third proportional to 124,673.75 and 274,255 is: 603,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,673.75 : 274,255 = 274,255 : x
  2. Step 2: Convert to fraction form
    124,673.75/274,255 = 274,255/x
  3. Step 3: Cross multiply
    124,673.75x = 274,255 × 274,255
  4. Step 4: Simplify right side
    124,673.75x = 75,215,805,025
  5. Step 5: Solve for x
    x = 75,215,805,025/124,673.75
  6. Step 6: Final answer
    x = 603,301.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.