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Finding the Third Proportional to 57,050 and 106,960

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Solution

The third proportional to 57,050 and 106,960 is: 200,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 106,960 = 106,960 : x
  2. Step 2: Convert to fraction form
    57,050/106,960 = 106,960/x
  3. Step 3: Cross multiply
    57,050x = 106,960 × 106,960
  4. Step 4: Simplify right side
    57,050x = 11,440,441,600
  5. Step 5: Solve for x
    x = 11,440,441,600/57,050
  6. Step 6: Final answer
    x = 200,533.60

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.