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Finding the Third Proportional to 124,764 and 270,012

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Solution

The third proportional to 124,764 and 270,012 is: 584,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,764 : 270,012 = 270,012 : x
  2. Step 2: Convert to fraction form
    124,764/270,012 = 270,012/x
  3. Step 3: Cross multiply
    124,764x = 270,012 × 270,012
  4. Step 4: Simplify right side
    124,764x = 72,906,480,144
  5. Step 5: Solve for x
    x = 72,906,480,144/124,764
  6. Step 6: Final answer
    x = 584,355.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.