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Finding the Third Proportional to 101,943 and 149,910.75

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Solution

The third proportional to 101,943 and 149,910.75 is: 220,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943 : 149,910.75 = 149,910.75 : x
  2. Step 2: Convert to fraction form
    101,943/149,910.75 = 149,910.75/x
  3. Step 3: Cross multiply
    101,943x = 149,910.75 × 149,910.75
  4. Step 4: Simplify right side
    101,943x = 22,473,232,965.56
  5. Step 5: Solve for x
    x = 22,473,232,965.56/101,943
  6. Step 6: Final answer
    x = 220,449.01

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