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Finding the Third Proportional to 101,145.50 and 145,697

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Solution

The third proportional to 101,145.50 and 145,697 is: 209,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,145.50 : 145,697 = 145,697 : x
  2. Step 2: Convert to fraction form
    101,145.50/145,697 = 145,697/x
  3. Step 3: Cross multiply
    101,145.50x = 145,697 × 145,697
  4. Step 4: Simplify right side
    101,145.50x = 21,227,615,809
  5. Step 5: Solve for x
    x = 21,227,615,809/101,145.50
  6. Step 6: Final answer
    x = 209,872.07

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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.