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Finding the Third Proportional to 101,161 and 145,725.50

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Solution

The third proportional to 101,161 and 145,725.50 is: 209,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,161 : 145,725.50 = 145,725.50 : x
  2. Step 2: Convert to fraction form
    101,161/145,725.50 = 145,725.50/x
  3. Step 3: Cross multiply
    101,161x = 145,725.50 × 145,725.50
  4. Step 4: Simplify right side
    101,161x = 21,235,921,350.25
  5. Step 5: Solve for x
    x = 21,235,921,350.25/101,161
  6. Step 6: Final answer
    x = 209,922.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.