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Finding the Third Proportional to 43,740 and 93,698

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Solution

The third proportional to 43,740 and 93,698 is: 200,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,740 : 93,698 = 93,698 : x
  2. Step 2: Convert to fraction form
    43,740/93,698 = 93,698/x
  3. Step 3: Cross multiply
    43,740x = 93,698 × 93,698
  4. Step 4: Simplify right side
    43,740x = 8,779,315,204
  5. Step 5: Solve for x
    x = 8,779,315,204/43,740
  6. Step 6: Final answer
    x = 200,715.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.