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Finding the Third Proportional to 45,898 and 97,301

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Solution

The third proportional to 45,898 and 97,301 is: 206,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,898 : 97,301 = 97,301 : x
  2. Step 2: Convert to fraction form
    45,898/97,301 = 97,301/x
  3. Step 3: Cross multiply
    45,898x = 97,301 × 97,301
  4. Step 4: Simplify right side
    45,898x = 9,467,484,601
  5. Step 5: Solve for x
    x = 9,467,484,601/45,898
  6. Step 6: Final answer
    x = 206,272.27

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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.