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Finding the Third Proportional to 95,106 and 147,182

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Solution

The third proportional to 95,106 and 147,182 is: 227,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,106 : 147,182 = 147,182 : x
  2. Step 2: Convert to fraction form
    95,106/147,182 = 147,182/x
  3. Step 3: Cross multiply
    95,106x = 147,182 × 147,182
  4. Step 4: Simplify right side
    95,106x = 21,662,541,124
  5. Step 5: Solve for x
    x = 21,662,541,124/95,106
  6. Step 6: Final answer
    x = 227,772.60

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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.