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Finding the Third Proportional to 68,583.38 and 105,563.25

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Solution

The third proportional to 68,583.38 and 105,563.25 is: 162,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,583.38 : 105,563.25 = 105,563.25 : x
  2. Step 2: Convert to fraction form
    68,583.38/105,563.25 = 105,563.25/x
  3. Step 3: Cross multiply
    68,583.38x = 105,563.25 × 105,563.25
  4. Step 4: Simplify right side
    68,583.38x = 11,143,599,750.56
  5. Step 5: Solve for x
    x = 11,143,599,750.56/68,583.38
  6. Step 6: Final answer
    x = 162,482.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.