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Finding the Third Proportional to 103,493 and 154,290

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Solution

The third proportional to 103,493 and 154,290 is: 230,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,493 : 154,290 = 154,290 : x
  2. Step 2: Convert to fraction form
    103,493/154,290 = 154,290/x
  3. Step 3: Cross multiply
    103,493x = 154,290 × 154,290
  4. Step 4: Simplify right side
    103,493x = 23,805,404,100
  5. Step 5: Solve for x
    x = 23,805,404,100/103,493
  6. Step 6: Final answer
    x = 230,019.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.