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Finding the Third Proportional to 105,740.25 and 161,958.75

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Solution

The third proportional to 105,740.25 and 161,958.75 is: 248,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,740.25 : 161,958.75 = 161,958.75 : x
  2. Step 2: Convert to fraction form
    105,740.25/161,958.75 = 161,958.75/x
  3. Step 3: Cross multiply
    105,740.25x = 161,958.75 × 161,958.75
  4. Step 4: Simplify right side
    105,740.25x = 26,230,636,701.56
  5. Step 5: Solve for x
    x = 26,230,636,701.56/105,740.25
  6. Step 6: Final answer
    x = 248,066.72

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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.