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Finding the Third Proportional to 110,871 and 170,650

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Solution

The third proportional to 110,871 and 170,650 is: 262,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,871 : 170,650 = 170,650 : x
  2. Step 2: Convert to fraction form
    110,871/170,650 = 170,650/x
  3. Step 3: Cross multiply
    110,871x = 170,650 × 170,650
  4. Step 4: Simplify right side
    110,871x = 29,121,422,500
  5. Step 5: Solve for x
    x = 29,121,422,500/110,871
  6. Step 6: Final answer
    x = 262,660.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.