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Finding the Third Proportional to 45,912 and 97,336

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Solution

The third proportional to 45,912 and 97,336 is: 206,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,912 : 97,336 = 97,336 : x
  2. Step 2: Convert to fraction form
    45,912/97,336 = 97,336/x
  3. Step 3: Cross multiply
    45,912x = 97,336 × 97,336
  4. Step 4: Simplify right side
    45,912x = 9,474,296,896
  5. Step 5: Solve for x
    x = 9,474,296,896/45,912
  6. Step 6: Final answer
    x = 206,357.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.