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Finding the Third Proportional to 103,309 and 159,634

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Solution

The third proportional to 103,309 and 159,634 is: 246,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,309 : 159,634 = 159,634 : x
  2. Step 2: Convert to fraction form
    103,309/159,634 = 159,634/x
  3. Step 3: Cross multiply
    103,309x = 159,634 × 159,634
  4. Step 4: Simplify right side
    103,309x = 25,483,013,956
  5. Step 5: Solve for x
    x = 25,483,013,956/103,309
  6. Step 6: Final answer
    x = 246,667.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.