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Finding the Third Proportional to 45,581 and 97,975

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Solution

The third proportional to 45,581 and 97,975 is: 210,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,581 : 97,975 = 97,975 : x
  2. Step 2: Convert to fraction form
    45,581/97,975 = 97,975/x
  3. Step 3: Cross multiply
    45,581x = 97,975 × 97,975
  4. Step 4: Simplify right side
    45,581x = 9,599,100,625
  5. Step 5: Solve for x
    x = 9,599,100,625/45,581
  6. Step 6: Final answer
    x = 210,594.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.