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Finding the Third Proportional to 105,840 and 162,131

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Solution

The third proportional to 105,840 and 162,131 is: 248,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840 : 162,131 = 162,131 : x
  2. Step 2: Convert to fraction form
    105,840/162,131 = 162,131/x
  3. Step 3: Cross multiply
    105,840x = 162,131 × 162,131
  4. Step 4: Simplify right side
    105,840x = 26,286,461,161
  5. Step 5: Solve for x
    x = 26,286,461,161/105,840
  6. Step 6: Final answer
    x = 248,360.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.