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Finding the Third Proportional to 43,946 and 93,724

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Solution

The third proportional to 43,946 and 93,724 is: 199,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,946 : 93,724 = 93,724 : x
  2. Step 2: Convert to fraction form
    43,946/93,724 = 93,724/x
  3. Step 3: Cross multiply
    43,946x = 93,724 × 93,724
  4. Step 4: Simplify right side
    43,946x = 8,784,188,176
  5. Step 5: Solve for x
    x = 8,784,188,176/43,946
  6. Step 6: Final answer
    x = 199,885.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.