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Finding the Third Proportional to 57,952 and 122,130

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Solution

The third proportional to 57,952 and 122,130 is: 257,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952 : 122,130 = 122,130 : x
  2. Step 2: Convert to fraction form
    57,952/122,130 = 122,130/x
  3. Step 3: Cross multiply
    57,952x = 122,130 × 122,130
  4. Step 4: Simplify right side
    57,952x = 14,915,736,900
  5. Step 5: Solve for x
    x = 14,915,736,900/57,952
  6. Step 6: Final answer
    x = 257,380.88

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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.