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Finding the Third Proportional to 131,590.13 and 188,178.75

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Solution

The third proportional to 131,590.13 and 188,178.75 is: 269,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,590.13 : 188,178.75 = 188,178.75 : x
  2. Step 2: Convert to fraction form
    131,590.13/188,178.75 = 188,178.75/x
  3. Step 3: Cross multiply
    131,590.13x = 188,178.75 × 188,178.75
  4. Step 4: Simplify right side
    131,590.13x = 35,411,241,951.56
  5. Step 5: Solve for x
    x = 35,411,241,951.56/131,590.13
  6. Step 6: Final answer
    x = 269,102.58

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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.