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Finding the Third Proportional to 47,591 and 102,360

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Solution

The third proportional to 47,591 and 102,360 is: 220,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,591 : 102,360 = 102,360 : x
  2. Step 2: Convert to fraction form
    47,591/102,360 = 102,360/x
  3. Step 3: Cross multiply
    47,591x = 102,360 × 102,360
  4. Step 4: Simplify right side
    47,591x = 10,477,569,600
  5. Step 5: Solve for x
    x = 10,477,569,600/47,591
  6. Step 6: Final answer
    x = 220,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.