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Finding the Third Proportional to 71,871 and 153,593

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Solution

The third proportional to 71,871 and 153,593 is: 328,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871 : 153,593 = 153,593 : x
  2. Step 2: Convert to fraction form
    71,871/153,593 = 153,593/x
  3. Step 3: Cross multiply
    71,871x = 153,593 × 153,593
  4. Step 4: Simplify right side
    71,871x = 23,590,809,649
  5. Step 5: Solve for x
    x = 23,590,809,649/71,871
  6. Step 6: Final answer
    x = 328,238.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.