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Finding the Third Proportional to 128,567 and 196,114

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Solution

The third proportional to 128,567 and 196,114 is: 299,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,567 : 196,114 = 196,114 : x
  2. Step 2: Convert to fraction form
    128,567/196,114 = 196,114/x
  3. Step 3: Cross multiply
    128,567x = 196,114 × 196,114
  4. Step 4: Simplify right side
    128,567x = 38,460,700,996
  5. Step 5: Solve for x
    x = 38,460,700,996/128,567
  6. Step 6: Final answer
    x = 299,149.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.