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Finding the Third Proportional to 103,694 and 149,880

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Solution

The third proportional to 103,694 and 149,880 is: 216,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 149,880 = 149,880 : x
  2. Step 2: Convert to fraction form
    103,694/149,880 = 149,880/x
  3. Step 3: Cross multiply
    103,694x = 149,880 × 149,880
  4. Step 4: Simplify right side
    103,694x = 22,464,014,400
  5. Step 5: Solve for x
    x = 22,464,014,400/103,694
  6. Step 6: Final answer
    x = 216,637.55

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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.