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Finding the Third Proportional to 124,755 and 273,423

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Solution

The third proportional to 124,755 and 273,423 is: 599,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,755 : 273,423 = 273,423 : x
  2. Step 2: Convert to fraction form
    124,755/273,423 = 273,423/x
  3. Step 3: Cross multiply
    124,755x = 273,423 × 273,423
  4. Step 4: Simplify right side
    124,755x = 74,760,136,929
  5. Step 5: Solve for x
    x = 74,760,136,929/124,755
  6. Step 6: Final answer
    x = 599,255.64

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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.