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Finding the Third Proportional to 101,000 and 149,556

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Solution

The third proportional to 101,000 and 149,556 is: 221,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,000 : 149,556 = 149,556 : x
  2. Step 2: Convert to fraction form
    101,000/149,556 = 149,556/x
  3. Step 3: Cross multiply
    101,000x = 149,556 × 149,556
  4. Step 4: Simplify right side
    101,000x = 22,366,997,136
  5. Step 5: Solve for x
    x = 22,366,997,136/101,000
  6. Step 6: Final answer
    x = 221,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.