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Finding the Third Proportional to 107,460 and 166,131

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Solution

The third proportional to 107,460 and 166,131 is: 256,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,460 : 166,131 = 166,131 : x
  2. Step 2: Convert to fraction form
    107,460/166,131 = 166,131/x
  3. Step 3: Cross multiply
    107,460x = 166,131 × 166,131
  4. Step 4: Simplify right side
    107,460x = 27,599,509,161
  5. Step 5: Solve for x
    x = 27,599,509,161/107,460
  6. Step 6: Final answer
    x = 256,835.19

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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.