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Finding the Third Proportional to 113,026 and 166,075

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Solution

The third proportional to 113,026 and 166,075 is: 244,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,026 : 166,075 = 166,075 : x
  2. Step 2: Convert to fraction form
    113,026/166,075 = 166,075/x
  3. Step 3: Cross multiply
    113,026x = 166,075 × 166,075
  4. Step 4: Simplify right side
    113,026x = 27,580,905,625
  5. Step 5: Solve for x
    x = 27,580,905,625/113,026
  6. Step 6: Final answer
    x = 244,022.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.