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Finding the Third Proportional to 131,502 and 186,072.75

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Solution

The third proportional to 131,502 and 186,072.75 is: 263,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,502 : 186,072.75 = 186,072.75 : x
  2. Step 2: Convert to fraction form
    131,502/186,072.75 = 186,072.75/x
  3. Step 3: Cross multiply
    131,502x = 186,072.75 × 186,072.75
  4. Step 4: Simplify right side
    131,502x = 34,623,068,292.56
  5. Step 5: Solve for x
    x = 34,623,068,292.56/131,502
  6. Step 6: Final answer
    x = 263,289.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.