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Finding the Third Proportional to 95,256 and 133,776

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Solution

The third proportional to 95,256 and 133,776 is: 187,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,256 : 133,776 = 133,776 : x
  2. Step 2: Convert to fraction form
    95,256/133,776 = 133,776/x
  3. Step 3: Cross multiply
    95,256x = 133,776 × 133,776
  4. Step 4: Simplify right side
    95,256x = 17,896,018,176
  5. Step 5: Solve for x
    x = 17,896,018,176/95,256
  6. Step 6: Final answer
    x = 187,872.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.