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Finding the Third Proportional to 95,346 and 207,094

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Solution

The third proportional to 95,346 and 207,094 is: 449,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 207,094 = 207,094 : x
  2. Step 2: Convert to fraction form
    95,346/207,094 = 207,094/x
  3. Step 3: Cross multiply
    95,346x = 207,094 × 207,094
  4. Step 4: Simplify right side
    95,346x = 42,887,924,836
  5. Step 5: Solve for x
    x = 42,887,924,836/95,346
  6. Step 6: Final answer
    x = 449,813.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.