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Finding the Third Proportional to 101,028 and 158,496

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Solution

The third proportional to 101,028 and 158,496 is: 248,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,028 : 158,496 = 158,496 : x
  2. Step 2: Convert to fraction form
    101,028/158,496 = 158,496/x
  3. Step 3: Cross multiply
    101,028x = 158,496 × 158,496
  4. Step 4: Simplify right side
    101,028x = 25,120,982,016
  5. Step 5: Solve for x
    x = 25,120,982,016/101,028
  6. Step 6: Final answer
    x = 248,653.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.