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Finding the Third Proportional to 43,704 and 95,575

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Solution

The third proportional to 43,704 and 95,575 is: 209,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,704 : 95,575 = 95,575 : x
  2. Step 2: Convert to fraction form
    43,704/95,575 = 95,575/x
  3. Step 3: Cross multiply
    43,704x = 95,575 × 95,575
  4. Step 4: Simplify right side
    43,704x = 9,134,580,625
  5. Step 5: Solve for x
    x = 9,134,580,625/43,704
  6. Step 6: Final answer
    x = 209,010.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.