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Finding the Third Proportional to 47,180 and 72,960

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Solution

The third proportional to 47,180 and 72,960 is: 112,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,180 : 72,960 = 72,960 : x
  2. Step 2: Convert to fraction form
    47,180/72,960 = 72,960/x
  3. Step 3: Cross multiply
    47,180x = 72,960 × 72,960
  4. Step 4: Simplify right side
    47,180x = 5,323,161,600
  5. Step 5: Solve for x
    x = 5,323,161,600/47,180
  6. Step 6: Final answer
    x = 112,826.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.