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Finding the Third Proportional to 43,713 and 93,797

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Solution

The third proportional to 43,713 and 93,797 is: 201,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,713 : 93,797 = 93,797 : x
  2. Step 2: Convert to fraction form
    43,713/93,797 = 93,797/x
  3. Step 3: Cross multiply
    43,713x = 93,797 × 93,797
  4. Step 4: Simplify right side
    43,713x = 8,797,877,209
  5. Step 5: Solve for x
    x = 8,797,877,209/43,713
  6. Step 6: Final answer
    x = 201,264.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.