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Finding the Third Proportional to 110,379 and 170,871

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Solution

The third proportional to 110,379 and 170,871 is: 264,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379 : 170,871 = 170,871 : x
  2. Step 2: Convert to fraction form
    110,379/170,871 = 170,871/x
  3. Step 3: Cross multiply
    110,379x = 170,871 × 170,871
  4. Step 4: Simplify right side
    110,379x = 29,196,898,641
  5. Step 5: Solve for x
    x = 29,196,898,641/110,379
  6. Step 6: Final answer
    x = 264,514.98

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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.