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Finding the Third Proportional to 110,056 and 170,848

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Solution

The third proportional to 110,056 and 170,848 is: 265,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,056 : 170,848 = 170,848 : x
  2. Step 2: Convert to fraction form
    110,056/170,848 = 170,848/x
  3. Step 3: Cross multiply
    110,056x = 170,848 × 170,848
  4. Step 4: Simplify right side
    110,056x = 29,189,039,104
  5. Step 5: Solve for x
    x = 29,189,039,104/110,056
  6. Step 6: Final answer
    x = 265,219.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.