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Finding the Third Proportional to 57,164 and 122,532

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Solution

The third proportional to 57,164 and 122,532 is: 262,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164 : 122,532 = 122,532 : x
  2. Step 2: Convert to fraction form
    57,164/122,532 = 122,532/x
  3. Step 3: Cross multiply
    57,164x = 122,532 × 122,532
  4. Step 4: Simplify right side
    57,164x = 15,014,091,024
  5. Step 5: Solve for x
    x = 15,014,091,024/57,164
  6. Step 6: Final answer
    x = 262,649.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.