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Finding the Third Proportional to 61,075 and 131,384

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Solution

The third proportional to 61,075 and 131,384 is: 282,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,075 : 131,384 = 131,384 : x
  2. Step 2: Convert to fraction form
    61,075/131,384 = 131,384/x
  3. Step 3: Cross multiply
    61,075x = 131,384 × 131,384
  4. Step 4: Simplify right side
    61,075x = 17,261,755,456
  5. Step 5: Solve for x
    x = 17,261,755,456/61,075
  6. Step 6: Final answer
    x = 282,632.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.