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Finding the Third Proportional to 95,112 and 147,195

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Solution

The third proportional to 95,112 and 147,195 is: 227,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,112 : 147,195 = 147,195 : x
  2. Step 2: Convert to fraction form
    95,112/147,195 = 147,195/x
  3. Step 3: Cross multiply
    95,112x = 147,195 × 147,195
  4. Step 4: Simplify right side
    95,112x = 21,666,368,025
  5. Step 5: Solve for x
    x = 21,666,368,025/95,112
  6. Step 6: Final answer
    x = 227,798.47

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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.