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Finding the Third Proportional to 105,823.13 and 141,076.69

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Solution

The third proportional to 105,823.13 and 141,076.69 is: 188,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,823.13 : 141,076.69 = 141,076.69 : x
  2. Step 2: Convert to fraction form
    105,823.13/141,076.69 = 141,076.69/x
  3. Step 3: Cross multiply
    105,823.13x = 141,076.69 × 141,076.69
  4. Step 4: Simplify right side
    105,823.13x = 19,902,631,755.97
  5. Step 5: Solve for x
    x = 19,902,631,755.97/105,823.13
  6. Step 6: Final answer
    x = 188,074.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.