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Finding the Third Proportional to 139,092 and 208,543

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Solution

The third proportional to 139,092 and 208,543 is: 312,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,092 : 208,543 = 208,543 : x
  2. Step 2: Convert to fraction form
    139,092/208,543 = 208,543/x
  3. Step 3: Cross multiply
    139,092x = 208,543 × 208,543
  4. Step 4: Simplify right side
    139,092x = 43,490,182,849
  5. Step 5: Solve for x
    x = 43,490,182,849/139,092
  6. Step 6: Final answer
    x = 312,672.06

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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.