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Finding the Third Proportional to 103,023 and 149,832

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Solution

The third proportional to 103,023 and 149,832 is: 217,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,023 : 149,832 = 149,832 : x
  2. Step 2: Convert to fraction form
    103,023/149,832 = 149,832/x
  3. Step 3: Cross multiply
    103,023x = 149,832 × 149,832
  4. Step 4: Simplify right side
    103,023x = 22,449,628,224
  5. Step 5: Solve for x
    x = 22,449,628,224/103,023
  6. Step 6: Final answer
    x = 217,908.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.