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Finding the Third Proportional to 127,832 and 178,776

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Solution

The third proportional to 127,832 and 178,776 is: 250,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,832 : 178,776 = 178,776 : x
  2. Step 2: Convert to fraction form
    127,832/178,776 = 178,776/x
  3. Step 3: Cross multiply
    127,832x = 178,776 × 178,776
  4. Step 4: Simplify right side
    127,832x = 31,960,858,176
  5. Step 5: Solve for x
    x = 31,960,858,176/127,832
  6. Step 6: Final answer
    x = 250,022.36

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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.