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Finding the Third Proportional to 45,123.75 and 97,625.25

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Solution

The third proportional to 45,123.75 and 97,625.25 is: 211,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.75 : 97,625.25 = 97,625.25 : x
  2. Step 2: Convert to fraction form
    45,123.75/97,625.25 = 97,625.25/x
  3. Step 3: Cross multiply
    45,123.75x = 97,625.25 × 97,625.25
  4. Step 4: Simplify right side
    45,123.75x = 9,530,689,437.56
  5. Step 5: Solve for x
    x = 9,530,689,437.56/45,123.75
  6. Step 6: Final answer
    x = 211,212.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.