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Finding the Third Proportional to 45,288 and 97,512

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Solution

The third proportional to 45,288 and 97,512 is: 209,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,288 : 97,512 = 97,512 : x
  2. Step 2: Convert to fraction form
    45,288/97,512 = 97,512/x
  3. Step 3: Cross multiply
    45,288x = 97,512 × 97,512
  4. Step 4: Simplify right side
    45,288x = 9,508,590,144
  5. Step 5: Solve for x
    x = 9,508,590,144/45,288
  6. Step 6: Final answer
    x = 209,958.27

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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.