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Finding the Third Proportional to 91,822 and 141,783

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Solution

The third proportional to 91,822 and 141,783 is: 218,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,822 : 141,783 = 141,783 : x
  2. Step 2: Convert to fraction form
    91,822/141,783 = 141,783/x
  3. Step 3: Cross multiply
    91,822x = 141,783 × 141,783
  4. Step 4: Simplify right side
    91,822x = 20,102,419,089
  5. Step 5: Solve for x
    x = 20,102,419,089/91,822
  6. Step 6: Final answer
    x = 218,928.13

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