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Finding the Third Proportional to 94,822 and 142,832

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Solution

The third proportional to 94,822 and 142,832 is: 215,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,822 : 142,832 = 142,832 : x
  2. Step 2: Convert to fraction form
    94,822/142,832 = 142,832/x
  3. Step 3: Cross multiply
    94,822x = 142,832 × 142,832
  4. Step 4: Simplify right side
    94,822x = 20,400,980,224
  5. Step 5: Solve for x
    x = 20,400,980,224/94,822
  6. Step 6: Final answer
    x = 215,150.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.