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Finding the Third Proportional to 57,050 and 131,141

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Solution

The third proportional to 57,050 and 131,141 is: 301,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 131,141 = 131,141 : x
  2. Step 2: Convert to fraction form
    57,050/131,141 = 131,141/x
  3. Step 3: Cross multiply
    57,050x = 131,141 × 131,141
  4. Step 4: Simplify right side
    57,050x = 17,197,961,881
  5. Step 5: Solve for x
    x = 17,197,961,881/57,050
  6. Step 6: Final answer
    x = 301,454.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.