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Finding the Third Proportional to 131,513 and 186,088

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Solution

The third proportional to 131,513 and 186,088 is: 263,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,513 : 186,088 = 186,088 : x
  2. Step 2: Convert to fraction form
    131,513/186,088 = 186,088/x
  3. Step 3: Cross multiply
    131,513x = 186,088 × 186,088
  4. Step 4: Simplify right side
    131,513x = 34,628,743,744
  5. Step 5: Solve for x
    x = 34,628,743,744/131,513
  6. Step 6: Final answer
    x = 263,310.42

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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.