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Finding the Third Proportional to 43,057 and 63,171

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Solution

The third proportional to 43,057 and 63,171 is: 92,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057 : 63,171 = 63,171 : x
  2. Step 2: Convert to fraction form
    43,057/63,171 = 63,171/x
  3. Step 3: Cross multiply
    43,057x = 63,171 × 63,171
  4. Step 4: Simplify right side
    43,057x = 3,990,575,241
  5. Step 5: Solve for x
    x = 3,990,575,241/43,057
  6. Step 6: Final answer
    x = 92,681.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.