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Finding the Third Proportional to 57,097 and 122,924

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Solution

The third proportional to 57,097 and 122,924 is: 264,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,097 : 122,924 = 122,924 : x
  2. Step 2: Convert to fraction form
    57,097/122,924 = 122,924/x
  3. Step 3: Cross multiply
    57,097x = 122,924 × 122,924
  4. Step 4: Simplify right side
    57,097x = 15,110,309,776
  5. Step 5: Solve for x
    x = 15,110,309,776/57,097
  6. Step 6: Final answer
    x = 264,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.