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Finding the Third Proportional to 121,162 and 257,012

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Solution

The third proportional to 121,162 and 257,012 is: 545,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,162 : 257,012 = 257,012 : x
  2. Step 2: Convert to fraction form
    121,162/257,012 = 257,012/x
  3. Step 3: Cross multiply
    121,162x = 257,012 × 257,012
  4. Step 4: Simplify right side
    121,162x = 66,055,168,144
  5. Step 5: Solve for x
    x = 66,055,168,144/121,162
  6. Step 6: Final answer
    x = 545,180.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.