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Finding the Third Proportional to 28,333 and 62,102

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Solution

The third proportional to 28,333 and 62,102 is: 136,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,333 : 62,102 = 62,102 : x
  2. Step 2: Convert to fraction form
    28,333/62,102 = 62,102/x
  3. Step 3: Cross multiply
    28,333x = 62,102 × 62,102
  4. Step 4: Simplify right side
    28,333x = 3,856,658,404
  5. Step 5: Solve for x
    x = 3,856,658,404/28,333
  6. Step 6: Final answer
    x = 136,118.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.