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Finding the Third Proportional to 135,051 and 196,654

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Solution

The third proportional to 135,051 and 196,654 is: 286,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,051 : 196,654 = 196,654 : x
  2. Step 2: Convert to fraction form
    135,051/196,654 = 196,654/x
  3. Step 3: Cross multiply
    135,051x = 196,654 × 196,654
  4. Step 4: Simplify right side
    135,051x = 38,672,795,716
  5. Step 5: Solve for x
    x = 38,672,795,716/135,051
  6. Step 6: Final answer
    x = 286,356.97

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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.