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Finding the Third Proportional to 45,077 and 96,407

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Solution

The third proportional to 45,077 and 96,407 is: 206,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,077 : 96,407 = 96,407 : x
  2. Step 2: Convert to fraction form
    45,077/96,407 = 96,407/x
  3. Step 3: Cross multiply
    45,077x = 96,407 × 96,407
  4. Step 4: Simplify right side
    45,077x = 9,294,309,649
  5. Step 5: Solve for x
    x = 9,294,309,649/45,077
  6. Step 6: Final answer
    x = 206,187.40

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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.