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Finding the Third Proportional to 95,640 and 133,768

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Solution

The third proportional to 95,640 and 133,768 is: 187,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,640 : 133,768 = 133,768 : x
  2. Step 2: Convert to fraction form
    95,640/133,768 = 133,768/x
  3. Step 3: Cross multiply
    95,640x = 133,768 × 133,768
  4. Step 4: Simplify right side
    95,640x = 17,893,877,824
  5. Step 5: Solve for x
    x = 17,893,877,824/95,640
  6. Step 6: Final answer
    x = 187,096.17

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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.