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Finding the Third Proportional to 45,571 and 96,091

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Solution

The third proportional to 45,571 and 96,091 is: 202,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,571 : 96,091 = 96,091 : x
  2. Step 2: Convert to fraction form
    45,571/96,091 = 96,091/x
  3. Step 3: Cross multiply
    45,571x = 96,091 × 96,091
  4. Step 4: Simplify right side
    45,571x = 9,233,480,281
  5. Step 5: Solve for x
    x = 9,233,480,281/45,571
  6. Step 6: Final answer
    x = 202,617.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.