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Finding the Third Proportional to 47,186 and 73,650

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Solution

The third proportional to 47,186 and 73,650 is: 114,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,186 : 73,650 = 73,650 : x
  2. Step 2: Convert to fraction form
    47,186/73,650 = 73,650/x
  3. Step 3: Cross multiply
    47,186x = 73,650 × 73,650
  4. Step 4: Simplify right side
    47,186x = 5,424,322,500
  5. Step 5: Solve for x
    x = 5,424,322,500/47,186
  6. Step 6: Final answer
    x = 114,956.18

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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.