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Finding the Third Proportional to 100,962 and 158,389

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Solution

The third proportional to 100,962 and 158,389 is: 248,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962 : 158,389 = 158,389 : x
  2. Step 2: Convert to fraction form
    100,962/158,389 = 158,389/x
  3. Step 3: Cross multiply
    100,962x = 158,389 × 158,389
  4. Step 4: Simplify right side
    100,962x = 25,087,075,321
  5. Step 5: Solve for x
    x = 25,087,075,321/100,962
  6. Step 6: Final answer
    x = 248,480.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.