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Finding the Third Proportional to 75,275 and 110,085

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Solution

The third proportional to 75,275 and 110,085 is: 160,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275 : 110,085 = 110,085 : x
  2. Step 2: Convert to fraction form
    75,275/110,085 = 110,085/x
  3. Step 3: Cross multiply
    75,275x = 110,085 × 110,085
  4. Step 4: Simplify right side
    75,275x = 12,118,707,225
  5. Step 5: Solve for x
    x = 12,118,707,225/75,275
  6. Step 6: Final answer
    x = 160,992.46

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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.