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Finding the Third Proportional to 45,102 and 96,462

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Solution

The third proportional to 45,102 and 96,462 is: 206,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102 : 96,462 = 96,462 : x
  2. Step 2: Convert to fraction form
    45,102/96,462 = 96,462/x
  3. Step 3: Cross multiply
    45,102x = 96,462 × 96,462
  4. Step 4: Simplify right side
    45,102x = 9,304,917,444
  5. Step 5: Solve for x
    x = 9,304,917,444/45,102
  6. Step 6: Final answer
    x = 206,308.31

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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.