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Finding the Third Proportional to 68,805.75 and 105,259.50

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Solution

The third proportional to 68,805.75 and 105,259.50 is: 161,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,805.75 : 105,259.50 = 105,259.50 : x
  2. Step 2: Convert to fraction form
    68,805.75/105,259.50 = 105,259.50/x
  3. Step 3: Cross multiply
    68,805.75x = 105,259.50 × 105,259.50
  4. Step 4: Simplify right side
    68,805.75x = 11,079,562,340.25
  5. Step 5: Solve for x
    x = 11,079,562,340.25/68,805.75
  6. Step 6: Final answer
    x = 161,026.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.