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Finding the Third Proportional to 67,731 and 155,773

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Solution

The third proportional to 67,731 and 155,773 is: 358,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,731 : 155,773 = 155,773 : x
  2. Step 2: Convert to fraction form
    67,731/155,773 = 155,773/x
  3. Step 3: Cross multiply
    67,731x = 155,773 × 155,773
  4. Step 4: Simplify right side
    67,731x = 24,265,227,529
  5. Step 5: Solve for x
    x = 24,265,227,529/67,731
  6. Step 6: Final answer
    x = 358,258.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.