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Finding the Third Proportional to 139,961 and 215,146

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Solution

The third proportional to 139,961 and 215,146 is: 330,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,961 : 215,146 = 215,146 : x
  2. Step 2: Convert to fraction form
    139,961/215,146 = 215,146/x
  3. Step 3: Cross multiply
    139,961x = 215,146 × 215,146
  4. Step 4: Simplify right side
    139,961x = 46,287,801,316
  5. Step 5: Solve for x
    x = 46,287,801,316/139,961
  6. Step 6: Final answer
    x = 330,719.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.