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Finding the Third Proportional to 127,848 and 195,543

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Solution

The third proportional to 127,848 and 195,543 is: 299,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848 : 195,543 = 195,543 : x
  2. Step 2: Convert to fraction form
    127,848/195,543 = 195,543/x
  3. Step 3: Cross multiply
    127,848x = 195,543 × 195,543
  4. Step 4: Simplify right side
    127,848x = 38,237,064,849
  5. Step 5: Solve for x
    x = 38,237,064,849/127,848
  6. Step 6: Final answer
    x = 299,082.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.