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Finding the Third Proportional to 136,218 and 204,513

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Solution

The third proportional to 136,218 and 204,513 is: 307,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,218 : 204,513 = 204,513 : x
  2. Step 2: Convert to fraction form
    136,218/204,513 = 204,513/x
  3. Step 3: Cross multiply
    136,218x = 204,513 × 204,513
  4. Step 4: Simplify right side
    136,218x = 41,825,567,169
  5. Step 5: Solve for x
    x = 41,825,567,169/136,218
  6. Step 6: Final answer
    x = 307,048.75

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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.