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Finding the Third Proportional to 131,551 and 188,088

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Solution

The third proportional to 131,551 and 188,088 is: 268,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,551 : 188,088 = 188,088 : x
  2. Step 2: Convert to fraction form
    131,551/188,088 = 188,088/x
  3. Step 3: Cross multiply
    131,551x = 188,088 × 188,088
  4. Step 4: Simplify right side
    131,551x = 35,377,095,744
  5. Step 5: Solve for x
    x = 35,377,095,744/131,551
  6. Step 6: Final answer
    x = 268,923.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.