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Finding the Third Proportional to 64,481 and 91,321.50

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Solution

The third proportional to 64,481 and 91,321.50 is: 129,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,481 : 91,321.50 = 91,321.50 : x
  2. Step 2: Convert to fraction form
    64,481/91,321.50 = 91,321.50/x
  3. Step 3: Cross multiply
    64,481x = 91,321.50 × 91,321.50
  4. Step 4: Simplify right side
    64,481x = 8,339,616,362.25
  5. Step 5: Solve for x
    x = 8,339,616,362.25/64,481
  6. Step 6: Final answer
    x = 129,334.48

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.