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Finding the Third Proportional to 95,000 and 147,093

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Solution

The third proportional to 95,000 and 147,093 is: 227,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,000 : 147,093 = 147,093 : x
  2. Step 2: Convert to fraction form
    95,000/147,093 = 147,093/x
  3. Step 3: Cross multiply
    95,000x = 147,093 × 147,093
  4. Step 4: Simplify right side
    95,000x = 21,636,350,649
  5. Step 5: Solve for x
    x = 21,636,350,649/95,000
  6. Step 6: Final answer
    x = 227,751.06

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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.