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Finding the Third Proportional to 101,584 and 158,848

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Solution

The third proportional to 101,584 and 158,848 is: 248,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584 : 158,848 = 158,848 : x
  2. Step 2: Convert to fraction form
    101,584/158,848 = 158,848/x
  3. Step 3: Cross multiply
    101,584x = 158,848 × 158,848
  4. Step 4: Simplify right side
    101,584x = 25,232,687,104
  5. Step 5: Solve for x
    x = 25,232,687,104/101,584
  6. Step 6: Final answer
    x = 248,392.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.