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Finding the Third Proportional to 110,064 and 170,860

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Solution

The third proportional to 110,064 and 170,860 is: 265,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,064 : 170,860 = 170,860 : x
  2. Step 2: Convert to fraction form
    110,064/170,860 = 170,860/x
  3. Step 3: Cross multiply
    110,064x = 170,860 × 170,860
  4. Step 4: Simplify right side
    110,064x = 29,193,139,600
  5. Step 5: Solve for x
    x = 29,193,139,600/110,064
  6. Step 6: Final answer
    x = 265,237.86

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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.