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Finding the Third Proportional to 136,707.75 and 213,699.09

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Solution

The third proportional to 136,707.75 and 213,699.09 is: 334,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,707.75 : 213,699.09 = 213,699.09 : x
  2. Step 2: Convert to fraction form
    136,707.75/213,699.09 = 213,699.09/x
  3. Step 3: Cross multiply
    136,707.75x = 213,699.09 × 213,699.09
  4. Step 4: Simplify right side
    136,707.75x = 45,667,302,669.57
  5. Step 5: Solve for x
    x = 45,667,302,669.57/136,707.75
  6. Step 6: Final answer
    x = 334,050.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.