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Finding the Third Proportional to 43,253 and 95,900

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Solution

The third proportional to 43,253 and 95,900 is: 212,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,253 : 95,900 = 95,900 : x
  2. Step 2: Convert to fraction form
    43,253/95,900 = 95,900/x
  3. Step 3: Cross multiply
    43,253x = 95,900 × 95,900
  4. Step 4: Simplify right side
    43,253x = 9,196,810,000
  5. Step 5: Solve for x
    x = 9,196,810,000/43,253
  6. Step 6: Final answer
    x = 212,628.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.