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Finding the Third Proportional to 65,530 and 89,673

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Solution

The third proportional to 65,530 and 89,673 is: 122,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,530 : 89,673 = 89,673 : x
  2. Step 2: Convert to fraction form
    65,530/89,673 = 89,673/x
  3. Step 3: Cross multiply
    65,530x = 89,673 × 89,673
  4. Step 4: Simplify right side
    65,530x = 8,041,246,929
  5. Step 5: Solve for x
    x = 8,041,246,929/65,530
  6. Step 6: Final answer
    x = 122,710.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.