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Finding the Third Proportional to 45,313 and 97,917

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Solution

The third proportional to 45,313 and 97,917 is: 211,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,313 : 97,917 = 97,917 : x
  2. Step 2: Convert to fraction form
    45,313/97,917 = 97,917/x
  3. Step 3: Cross multiply
    45,313x = 97,917 × 97,917
  4. Step 4: Simplify right side
    45,313x = 9,587,738,889
  5. Step 5: Solve for x
    x = 9,587,738,889/45,313
  6. Step 6: Final answer
    x = 211,589.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.