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Finding the Third Proportional to 57,984 and 122,197.50

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Solution

The third proportional to 57,984 and 122,197.50 is: 257,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984 : 122,197.50 = 122,197.50 : x
  2. Step 2: Convert to fraction form
    57,984/122,197.50 = 122,197.50/x
  3. Step 3: Cross multiply
    57,984x = 122,197.50 × 122,197.50
  4. Step 4: Simplify right side
    57,984x = 14,932,229,006.25
  5. Step 5: Solve for x
    x = 14,932,229,006.25/57,984
  6. Step 6: Final answer
    x = 257,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.