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Finding the Third Proportional to 43,422 and 95,157

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Solution

The third proportional to 43,422 and 95,157 is: 208,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,422 : 95,157 = 95,157 : x
  2. Step 2: Convert to fraction form
    43,422/95,157 = 95,157/x
  3. Step 3: Cross multiply
    43,422x = 95,157 × 95,157
  4. Step 4: Simplify right side
    43,422x = 9,054,854,649
  5. Step 5: Solve for x
    x = 9,054,854,649/43,422
  6. Step 6: Final answer
    x = 208,531.50

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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.