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Finding the Third Proportional to 30,297 and 62,102

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Solution

The third proportional to 30,297 and 62,102 is: 127,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297 : 62,102 = 62,102 : x
  2. Step 2: Convert to fraction form
    30,297/62,102 = 62,102/x
  3. Step 3: Cross multiply
    30,297x = 62,102 × 62,102
  4. Step 4: Simplify right side
    30,297x = 3,856,658,404
  5. Step 5: Solve for x
    x = 3,856,658,404/30,297
  6. Step 6: Final answer
    x = 127,295.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.