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Finding the Third Proportional to 95,118 and 147,485

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Solution

The third proportional to 95,118 and 147,485 is: 228,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,118 : 147,485 = 147,485 : x
  2. Step 2: Convert to fraction form
    95,118/147,485 = 147,485/x
  3. Step 3: Cross multiply
    95,118x = 147,485 × 147,485
  4. Step 4: Simplify right side
    95,118x = 21,751,825,225
  5. Step 5: Solve for x
    x = 21,751,825,225/95,118
  6. Step 6: Final answer
    x = 228,682.53

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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.