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Finding the Third Proportional to 95,495 and 207,982

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Solution

The third proportional to 95,495 and 207,982 is: 452,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,495 : 207,982 = 207,982 : x
  2. Step 2: Convert to fraction form
    95,495/207,982 = 207,982/x
  3. Step 3: Cross multiply
    95,495x = 207,982 × 207,982
  4. Step 4: Simplify right side
    95,495x = 43,256,512,324
  5. Step 5: Solve for x
    x = 43,256,512,324/95,495
  6. Step 6: Final answer
    x = 452,971.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.