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Finding the Third Proportional to 75,319 and 110,149

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Solution

The third proportional to 75,319 and 110,149 is: 161,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319 : 110,149 = 110,149 : x
  2. Step 2: Convert to fraction form
    75,319/110,149 = 110,149/x
  3. Step 3: Cross multiply
    75,319x = 110,149 × 110,149
  4. Step 4: Simplify right side
    75,319x = 12,132,802,201
  5. Step 5: Solve for x
    x = 12,132,802,201/75,319
  6. Step 6: Final answer
    x = 161,085.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.