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Finding the Third Proportional to 100,928 and 158,345

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Solution

The third proportional to 100,928 and 158,345 is: 248,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,928 : 158,345 = 158,345 : x
  2. Step 2: Convert to fraction form
    100,928/158,345 = 158,345/x
  3. Step 3: Cross multiply
    100,928x = 158,345 × 158,345
  4. Step 4: Simplify right side
    100,928x = 25,073,139,025
  5. Step 5: Solve for x
    x = 25,073,139,025/100,928
  6. Step 6: Final answer
    x = 248,426.00

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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.