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Finding the Third Proportional to 45,114 and 97,917

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Solution

The third proportional to 45,114 and 97,917 is: 212,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114 : 97,917 = 97,917 : x
  2. Step 2: Convert to fraction form
    45,114/97,917 = 97,917/x
  3. Step 3: Cross multiply
    45,114x = 97,917 × 97,917
  4. Step 4: Simplify right side
    45,114x = 9,587,738,889
  5. Step 5: Solve for x
    x = 9,587,738,889/45,114
  6. Step 6: Final answer
    x = 212,522.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.