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Finding the Third Proportional to 70,683 and 153,634

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Solution

The third proportional to 70,683 and 153,634 is: 333,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683 : 153,634 = 153,634 : x
  2. Step 2: Convert to fraction form
    70,683/153,634 = 153,634/x
  3. Step 3: Cross multiply
    70,683x = 153,634 × 153,634
  4. Step 4: Simplify right side
    70,683x = 23,603,405,956
  5. Step 5: Solve for x
    x = 23,603,405,956/70,683
  6. Step 6: Final answer
    x = 333,933.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.