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Finding the Third Proportional to 75,266 and 110,819.75

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Solution

The third proportional to 75,266 and 110,819.75 is: 163,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,266 : 110,819.75 = 110,819.75 : x
  2. Step 2: Convert to fraction form
    75,266/110,819.75 = 110,819.75/x
  3. Step 3: Cross multiply
    75,266x = 110,819.75 × 110,819.75
  4. Step 4: Simplify right side
    75,266x = 12,281,016,990.06
  5. Step 5: Solve for x
    x = 12,281,016,990.06/75,266
  6. Step 6: Final answer
    x = 163,168.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.