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Finding the Third Proportional to 95,076 and 208,296

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Solution

The third proportional to 95,076 and 208,296 is: 456,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,076 : 208,296 = 208,296 : x
  2. Step 2: Convert to fraction form
    95,076/208,296 = 208,296/x
  3. Step 3: Cross multiply
    95,076x = 208,296 × 208,296
  4. Step 4: Simplify right side
    95,076x = 43,387,223,616
  5. Step 5: Solve for x
    x = 43,387,223,616/95,076
  6. Step 6: Final answer
    x = 456,342.54

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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.