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Finding the Third Proportional to 124,539 and 275,247

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Solution

The third proportional to 124,539 and 275,247 is: 608,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,539 : 275,247 = 275,247 : x
  2. Step 2: Convert to fraction form
    124,539/275,247 = 275,247/x
  3. Step 3: Cross multiply
    124,539x = 275,247 × 275,247
  4. Step 4: Simplify right side
    124,539x = 75,760,911,009
  5. Step 5: Solve for x
    x = 75,760,911,009/124,539
  6. Step 6: Final answer
    x = 608,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.