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Finding the Third Proportional to 75,164 and 110,504

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Solution

The third proportional to 75,164 and 110,504 is: 162,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164 : 110,504 = 110,504 : x
  2. Step 2: Convert to fraction form
    75,164/110,504 = 110,504/x
  3. Step 3: Cross multiply
    75,164x = 110,504 × 110,504
  4. Step 4: Simplify right side
    75,164x = 12,211,134,016
  5. Step 5: Solve for x
    x = 12,211,134,016/75,164
  6. Step 6: Final answer
    x = 162,459.87

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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.