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Finding the Third Proportional to 81,450 and 119,263.50

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Solution

The third proportional to 81,450 and 119,263.50 is: 174,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,450 : 119,263.50 = 119,263.50 : x
  2. Step 2: Convert to fraction form
    81,450/119,263.50 = 119,263.50/x
  3. Step 3: Cross multiply
    81,450x = 119,263.50 × 119,263.50
  4. Step 4: Simplify right side
    81,450x = 14,223,782,432.25
  5. Step 5: Solve for x
    x = 14,223,782,432.25/81,450
  6. Step 6: Final answer
    x = 174,632.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.