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Finding the Third Proportional to 105,016.50 and 141,486.75

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Solution

The third proportional to 105,016.50 and 141,486.75 is: 190,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,016.50 : 141,486.75 = 141,486.75 : x
  2. Step 2: Convert to fraction form
    105,016.50/141,486.75 = 141,486.75/x
  3. Step 3: Cross multiply
    105,016.50x = 141,486.75 × 141,486.75
  4. Step 4: Simplify right side
    105,016.50x = 20,018,500,425.56
  5. Step 5: Solve for x
    x = 20,018,500,425.56/105,016.50
  6. Step 6: Final answer
    x = 190,622.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.