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Finding the Third Proportional to 95,093 and 147,165

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Solution

The third proportional to 95,093 and 147,165 is: 227,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,093 : 147,165 = 147,165 : x
  2. Step 2: Convert to fraction form
    95,093/147,165 = 147,165/x
  3. Step 3: Cross multiply
    95,093x = 147,165 × 147,165
  4. Step 4: Simplify right side
    95,093x = 21,657,537,225
  5. Step 5: Solve for x
    x = 21,657,537,225/95,093
  6. Step 6: Final answer
    x = 227,751.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.