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Finding the Third Proportional to 105,186 and 163,182

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Solution

The third proportional to 105,186 and 163,182 is: 253,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186 : 163,182 = 163,182 : x
  2. Step 2: Convert to fraction form
    105,186/163,182 = 163,182/x
  3. Step 3: Cross multiply
    105,186x = 163,182 × 163,182
  4. Step 4: Simplify right side
    105,186x = 26,628,365,124
  5. Step 5: Solve for x
    x = 26,628,365,124/105,186
  6. Step 6: Final answer
    x = 253,155.03

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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.