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Finding the Third Proportional to 117,537.75 and 211,746.75

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Solution

The third proportional to 117,537.75 and 211,746.75 is: 381,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537.75 : 211,746.75 = 211,746.75 : x
  2. Step 2: Convert to fraction form
    117,537.75/211,746.75 = 211,746.75/x
  3. Step 3: Cross multiply
    117,537.75x = 211,746.75 × 211,746.75
  4. Step 4: Simplify right side
    117,537.75x = 44,836,686,135.56
  5. Step 5: Solve for x
    x = 44,836,686,135.56/117,537.75
  6. Step 6: Final answer
    x = 381,466.26

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.