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Finding the Third Proportional to 59,467.50 and 91,083

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Solution

The third proportional to 59,467.50 and 91,083 is: 139,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,467.50 : 91,083 = 91,083 : x
  2. Step 2: Convert to fraction form
    59,467.50/91,083 = 91,083/x
  3. Step 3: Cross multiply
    59,467.50x = 91,083 × 91,083
  4. Step 4: Simplify right side
    59,467.50x = 8,296,112,889
  5. Step 5: Solve for x
    x = 8,296,112,889/59,467.50
  6. Step 6: Final answer
    x = 139,506.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.