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Finding the Third Proportional to 121,734 and 250,956

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Solution

The third proportional to 121,734 and 250,956 is: 517,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,734 : 250,956 = 250,956 : x
  2. Step 2: Convert to fraction form
    121,734/250,956 = 250,956/x
  3. Step 3: Cross multiply
    121,734x = 250,956 × 250,956
  4. Step 4: Simplify right side
    121,734x = 62,978,913,936
  5. Step 5: Solve for x
    x = 62,978,913,936/121,734
  6. Step 6: Final answer
    x = 517,348.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.