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Finding the Third Proportional to 133,502 and 186,644

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Solution

The third proportional to 133,502 and 186,644 is: 260,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,502 : 186,644 = 186,644 : x
  2. Step 2: Convert to fraction form
    133,502/186,644 = 186,644/x
  3. Step 3: Cross multiply
    133,502x = 186,644 × 186,644
  4. Step 4: Simplify right side
    133,502x = 34,835,982,736
  5. Step 5: Solve for x
    x = 34,835,982,736/133,502
  6. Step 6: Final answer
    x = 260,939.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.