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Finding the Third Proportional to 43,261 and 95,915

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Solution

The third proportional to 43,261 and 95,915 is: 212,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,261 : 95,915 = 95,915 : x
  2. Step 2: Convert to fraction form
    43,261/95,915 = 95,915/x
  3. Step 3: Cross multiply
    43,261x = 95,915 × 95,915
  4. Step 4: Simplify right side
    43,261x = 9,199,687,225
  5. Step 5: Solve for x
    x = 9,199,687,225/43,261
  6. Step 6: Final answer
    x = 212,655.45

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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.