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Finding the Third Proportional to 134,692 and 196,115

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Solution

The third proportional to 134,692 and 196,115 is: 285,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,692 : 196,115 = 196,115 : x
  2. Step 2: Convert to fraction form
    134,692/196,115 = 196,115/x
  3. Step 3: Cross multiply
    134,692x = 196,115 × 196,115
  4. Step 4: Simplify right side
    134,692x = 38,461,093,225
  5. Step 5: Solve for x
    x = 38,461,093,225/134,692
  6. Step 6: Final answer
    x = 285,548.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.