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Finding the Third Proportional to 65,188 and 156,989

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Solution

The third proportional to 65,188 and 156,989 is: 378,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188 : 156,989 = 156,989 : x
  2. Step 2: Convert to fraction form
    65,188/156,989 = 156,989/x
  3. Step 3: Cross multiply
    65,188x = 156,989 × 156,989
  4. Step 4: Simplify right side
    65,188x = 24,645,546,121
  5. Step 5: Solve for x
    x = 24,645,546,121/65,188
  6. Step 6: Final answer
    x = 378,068.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.