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Finding the Third Proportional to 76,596 and 110,321

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Solution

The third proportional to 76,596 and 110,321 is: 158,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596 : 110,321 = 110,321 : x
  2. Step 2: Convert to fraction form
    76,596/110,321 = 110,321/x
  3. Step 3: Cross multiply
    76,596x = 110,321 × 110,321
  4. Step 4: Simplify right side
    76,596x = 12,170,723,041
  5. Step 5: Solve for x
    x = 12,170,723,041/76,596
  6. Step 6: Final answer
    x = 158,895.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.