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Finding the Third Proportional to 111,075 and 158,724

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Solution

The third proportional to 111,075 and 158,724 is: 226,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,075 : 158,724 = 158,724 : x
  2. Step 2: Convert to fraction form
    111,075/158,724 = 158,724/x
  3. Step 3: Cross multiply
    111,075x = 158,724 × 158,724
  4. Step 4: Simplify right side
    111,075x = 25,193,308,176
  5. Step 5: Solve for x
    x = 25,193,308,176/111,075
  6. Step 6: Final answer
    x = 226,813.49

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.