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Finding the Third Proportional to 139,092 and 209,287

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Solution

The third proportional to 139,092 and 209,287 is: 314,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,092 : 209,287 = 209,287 : x
  2. Step 2: Convert to fraction form
    139,092/209,287 = 209,287/x
  3. Step 3: Cross multiply
    139,092x = 209,287 × 209,287
  4. Step 4: Simplify right side
    139,092x = 43,801,048,369
  5. Step 5: Solve for x
    x = 43,801,048,369/139,092
  6. Step 6: Final answer
    x = 314,907.03

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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.