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Finding the Third Proportional to 47,099 and 73,875

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Solution

The third proportional to 47,099 and 73,875 is: 115,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099 : 73,875 = 73,875 : x
  2. Step 2: Convert to fraction form
    47,099/73,875 = 73,875/x
  3. Step 3: Cross multiply
    47,099x = 73,875 × 73,875
  4. Step 4: Simplify right side
    47,099x = 5,457,515,625
  5. Step 5: Solve for x
    x = 5,457,515,625/47,099
  6. Step 6: Final answer
    x = 115,873.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.