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Finding the Third Proportional to 84,958 and 186,075

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Solution

The third proportional to 84,958 and 186,075 is: 407,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,958 : 186,075 = 186,075 : x
  2. Step 2: Convert to fraction form
    84,958/186,075 = 186,075/x
  3. Step 3: Cross multiply
    84,958x = 186,075 × 186,075
  4. Step 4: Simplify right side
    84,958x = 34,623,905,625
  5. Step 5: Solve for x
    x = 34,623,905,625/84,958
  6. Step 6: Final answer
    x = 407,541.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.