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Finding the Third Proportional to 101,738.75 and 149,666.75

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Solution

The third proportional to 101,738.75 and 149,666.75 is: 220,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.75 : 149,666.75 = 149,666.75 : x
  2. Step 2: Convert to fraction form
    101,738.75/149,666.75 = 149,666.75/x
  3. Step 3: Cross multiply
    101,738.75x = 149,666.75 × 149,666.75
  4. Step 4: Simplify right side
    101,738.75x = 22,400,136,055.56
  5. Step 5: Solve for x
    x = 22,400,136,055.56/101,738.75
  6. Step 6: Final answer
    x = 220,173.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.