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Finding the Third Proportional to 39,946 and 94,988

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Solution

The third proportional to 39,946 and 94,988 is: 225,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946 : 94,988 = 94,988 : x
  2. Step 2: Convert to fraction form
    39,946/94,988 = 94,988/x
  3. Step 3: Cross multiply
    39,946x = 94,988 × 94,988
  4. Step 4: Simplify right side
    39,946x = 9,022,720,144
  5. Step 5: Solve for x
    x = 9,022,720,144/39,946
  6. Step 6: Final answer
    x = 225,872.93

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.