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Finding the Third Proportional to 127,104 and 185,760

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Solution

The third proportional to 127,104 and 185,760 is: 271,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,104 : 185,760 = 185,760 : x
  2. Step 2: Convert to fraction form
    127,104/185,760 = 185,760/x
  3. Step 3: Cross multiply
    127,104x = 185,760 × 185,760
  4. Step 4: Simplify right side
    127,104x = 34,506,777,600
  5. Step 5: Solve for x
    x = 34,506,777,600/127,104
  6. Step 6: Final answer
    x = 271,484.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.