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Finding the Third Proportional to 45,642 and 97,116

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Solution

The third proportional to 45,642 and 97,116 is: 206,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642 : 97,116 = 97,116 : x
  2. Step 2: Convert to fraction form
    45,642/97,116 = 97,116/x
  3. Step 3: Cross multiply
    45,642x = 97,116 × 97,116
  4. Step 4: Simplify right side
    45,642x = 9,431,517,456
  5. Step 5: Solve for x
    x = 9,431,517,456/45,642
  6. Step 6: Final answer
    x = 206,641.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.