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Finding the Third Proportional to 73,104 and 110,457

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Solution

The third proportional to 73,104 and 110,457 is: 166,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,104 : 110,457 = 110,457 : x
  2. Step 2: Convert to fraction form
    73,104/110,457 = 110,457/x
  3. Step 3: Cross multiply
    73,104x = 110,457 × 110,457
  4. Step 4: Simplify right side
    73,104x = 12,200,748,849
  5. Step 5: Solve for x
    x = 12,200,748,849/73,104
  6. Step 6: Final answer
    x = 166,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.