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Finding the Third Proportional to 43,646 and 95,069

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Solution

The third proportional to 43,646 and 95,069 is: 207,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,646 : 95,069 = 95,069 : x
  2. Step 2: Convert to fraction form
    43,646/95,069 = 95,069/x
  3. Step 3: Cross multiply
    43,646x = 95,069 × 95,069
  4. Step 4: Simplify right side
    43,646x = 9,038,114,761
  5. Step 5: Solve for x
    x = 9,038,114,761/43,646
  6. Step 6: Final answer
    x = 207,077.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.