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Finding the Third Proportional to 124,619.25 and 271,794.75

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Solution

The third proportional to 124,619.25 and 271,794.75 is: 592,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,619.25 : 271,794.75 = 271,794.75 : x
  2. Step 2: Convert to fraction form
    124,619.25/271,794.75 = 271,794.75/x
  3. Step 3: Cross multiply
    124,619.25x = 271,794.75 × 271,794.75
  4. Step 4: Simplify right side
    124,619.25x = 73,872,386,127.56
  5. Step 5: Solve for x
    x = 73,872,386,127.56/124,619.25
  6. Step 6: Final answer
    x = 592,784.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.