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Finding the Third Proportional to 135,126 and 211,968.50

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Solution

The third proportional to 135,126 and 211,968.50 is: 332,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,126 : 211,968.50 = 211,968.50 : x
  2. Step 2: Convert to fraction form
    135,126/211,968.50 = 211,968.50/x
  3. Step 3: Cross multiply
    135,126x = 211,968.50 × 211,968.50
  4. Step 4: Simplify right side
    135,126x = 44,930,644,992.25
  5. Step 5: Solve for x
    x = 44,930,644,992.25/135,126
  6. Step 6: Final answer
    x = 332,509.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.