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Finding the Third Proportional to 101,039 and 168,391

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Solution

The third proportional to 101,039 and 168,391 is: 280,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,039 : 168,391 = 168,391 : x
  2. Step 2: Convert to fraction form
    101,039/168,391 = 168,391/x
  3. Step 3: Cross multiply
    101,039x = 168,391 × 168,391
  4. Step 4: Simplify right side
    101,039x = 28,355,528,881
  5. Step 5: Solve for x
    x = 28,355,528,881/101,039
  6. Step 6: Final answer
    x = 280,639.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.