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Finding the Third Proportional to 101,015 and 149,569

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Solution

The third proportional to 101,015 and 149,569 is: 221,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,015 : 149,569 = 149,569 : x
  2. Step 2: Convert to fraction form
    101,015/149,569 = 149,569/x
  3. Step 3: Cross multiply
    101,015x = 149,569 × 149,569
  4. Step 4: Simplify right side
    101,015x = 22,370,885,761
  5. Step 5: Solve for x
    x = 22,370,885,761/101,015
  6. Step 6: Final answer
    x = 221,461.03

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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.