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Finding the Third Proportional to 81,605.50 and 173,007.50

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Solution

The third proportional to 81,605.50 and 173,007.50 is: 366,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,605.50 : 173,007.50 = 173,007.50 : x
  2. Step 2: Convert to fraction form
    81,605.50/173,007.50 = 173,007.50/x
  3. Step 3: Cross multiply
    81,605.50x = 173,007.50 × 173,007.50
  4. Step 4: Simplify right side
    81,605.50x = 29,931,595,056.25
  5. Step 5: Solve for x
    x = 29,931,595,056.25/81,605.50
  6. Step 6: Final answer
    x = 366,784.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.