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Finding the Third Proportional to 139,104 and 209,308

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Solution

The third proportional to 139,104 and 209,308 is: 314,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,104 : 209,308 = 209,308 : x
  2. Step 2: Convert to fraction form
    139,104/209,308 = 209,308/x
  3. Step 3: Cross multiply
    139,104x = 209,308 × 209,308
  4. Step 4: Simplify right side
    139,104x = 43,809,838,864
  5. Step 5: Solve for x
    x = 43,809,838,864/139,104
  6. Step 6: Final answer
    x = 314,943.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.