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Finding the Third Proportional to 139,884 and 209,772

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Solution

The third proportional to 139,884 and 209,772 is: 314,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,884 : 209,772 = 209,772 : x
  2. Step 2: Convert to fraction form
    139,884/209,772 = 209,772/x
  3. Step 3: Cross multiply
    139,884x = 209,772 × 209,772
  4. Step 4: Simplify right side
    139,884x = 44,004,291,984
  5. Step 5: Solve for x
    x = 44,004,291,984/139,884
  6. Step 6: Final answer
    x = 314,577.02

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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.