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Finding the Third Proportional to 81,763.50 and 173,422.50

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Solution

The third proportional to 81,763.50 and 173,422.50 is: 367,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763.50 : 173,422.50 = 173,422.50 : x
  2. Step 2: Convert to fraction form
    81,763.50/173,422.50 = 173,422.50/x
  3. Step 3: Cross multiply
    81,763.50x = 173,422.50 × 173,422.50
  4. Step 4: Simplify right side
    81,763.50x = 30,075,363,506.25
  5. Step 5: Solve for x
    x = 30,075,363,506.25/81,763.50
  6. Step 6: Final answer
    x = 367,833.61

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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.