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Finding the Third Proportional to 45,180 and 96,613

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Solution

The third proportional to 45,180 and 96,613 is: 206,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,180 : 96,613 = 96,613 : x
  2. Step 2: Convert to fraction form
    45,180/96,613 = 96,613/x
  3. Step 3: Cross multiply
    45,180x = 96,613 × 96,613
  4. Step 4: Simplify right side
    45,180x = 9,334,071,769
  5. Step 5: Solve for x
    x = 9,334,071,769/45,180
  6. Step 6: Final answer
    x = 206,597.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.