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Finding the Third Proportional to 86,075 and 132,954

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Solution

The third proportional to 86,075 and 132,954 is: 205,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075 : 132,954 = 132,954 : x
  2. Step 2: Convert to fraction form
    86,075/132,954 = 132,954/x
  3. Step 3: Cross multiply
    86,075x = 132,954 × 132,954
  4. Step 4: Simplify right side
    86,075x = 17,676,766,116
  5. Step 5: Solve for x
    x = 17,676,766,116/86,075
  6. Step 6: Final answer
    x = 205,364.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.