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Finding the Third Proportional to 47,457 and 103,659.75

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Solution

The third proportional to 47,457 and 103,659.75 is: 226,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,457 : 103,659.75 = 103,659.75 : x
  2. Step 2: Convert to fraction form
    47,457/103,659.75 = 103,659.75/x
  3. Step 3: Cross multiply
    47,457x = 103,659.75 × 103,659.75
  4. Step 4: Simplify right side
    47,457x = 10,745,343,770.06
  5. Step 5: Solve for x
    x = 10,745,343,770.06/47,457
  6. Step 6: Final answer
    x = 226,422.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.