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Finding the Third Proportional to 86,075 and 186,442

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Solution

The third proportional to 86,075 and 186,442 is: 403,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075 : 186,442 = 186,442 : x
  2. Step 2: Convert to fraction form
    86,075/186,442 = 186,442/x
  3. Step 3: Cross multiply
    86,075x = 186,442 × 186,442
  4. Step 4: Simplify right side
    86,075x = 34,760,619,364
  5. Step 5: Solve for x
    x = 34,760,619,364/86,075
  6. Step 6: Final answer
    x = 403,841.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.