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Finding the Third Proportional to 57,610 and 119,215

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Solution

The third proportional to 57,610 and 119,215 is: 246,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,610 : 119,215 = 119,215 : x
  2. Step 2: Convert to fraction form
    57,610/119,215 = 119,215/x
  3. Step 3: Cross multiply
    57,610x = 119,215 × 119,215
  4. Step 4: Simplify right side
    57,610x = 14,212,216,225
  5. Step 5: Solve for x
    x = 14,212,216,225/57,610
  6. Step 6: Final answer
    x = 246,697.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.