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Finding the Third Proportional to 47,230 and 73,715

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Solution

The third proportional to 47,230 and 73,715 is: 115,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,230 : 73,715 = 73,715 : x
  2. Step 2: Convert to fraction form
    47,230/73,715 = 73,715/x
  3. Step 3: Cross multiply
    47,230x = 73,715 × 73,715
  4. Step 4: Simplify right side
    47,230x = 5,433,901,225
  5. Step 5: Solve for x
    x = 5,433,901,225/47,230
  6. Step 6: Final answer
    x = 115,051.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.