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Finding the Third Proportional to 94,619 and 141,943

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Solution

The third proportional to 94,619 and 141,943 is: 212,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,619 : 141,943 = 141,943 : x
  2. Step 2: Convert to fraction form
    94,619/141,943 = 141,943/x
  3. Step 3: Cross multiply
    94,619x = 141,943 × 141,943
  4. Step 4: Simplify right side
    94,619x = 20,147,815,249
  5. Step 5: Solve for x
    x = 20,147,815,249/94,619
  6. Step 6: Final answer
    x = 212,936.25

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Why These Related Problems?

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