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Finding the Third Proportional to 94,844.25 and 142,020

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Solution

The third proportional to 94,844.25 and 142,020 is: 212,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844.25 : 142,020 = 142,020 : x
  2. Step 2: Convert to fraction form
    94,844.25/142,020 = 142,020/x
  3. Step 3: Cross multiply
    94,844.25x = 142,020 × 142,020
  4. Step 4: Simplify right side
    94,844.25x = 20,169,680,400
  5. Step 5: Solve for x
    x = 20,169,680,400/94,844.25
  6. Step 6: Final answer
    x = 212,661.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.