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Finding the Third Proportional to 124,524 and 273,240

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Solution

The third proportional to 124,524 and 273,240 is: 599,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,524 : 273,240 = 273,240 : x
  2. Step 2: Convert to fraction form
    124,524/273,240 = 273,240/x
  3. Step 3: Cross multiply
    124,524x = 273,240 × 273,240
  4. Step 4: Simplify right side
    124,524x = 74,660,097,600
  5. Step 5: Solve for x
    x = 74,660,097,600/124,524
  6. Step 6: Final answer
    x = 599,563.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.