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Finding the Third Proportional to 103,500 and 158,268

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Solution

The third proportional to 103,500 and 158,268 is: 242,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,500 : 158,268 = 158,268 : x
  2. Step 2: Convert to fraction form
    103,500/158,268 = 158,268/x
  3. Step 3: Cross multiply
    103,500x = 158,268 × 158,268
  4. Step 4: Simplify right side
    103,500x = 25,048,759,824
  5. Step 5: Solve for x
    x = 25,048,759,824/103,500
  6. Step 6: Final answer
    x = 242,017.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.