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Finding the Third Proportional to 74,457 and 110,223

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Solution

The third proportional to 74,457 and 110,223 is: 163,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,457 : 110,223 = 110,223 : x
  2. Step 2: Convert to fraction form
    74,457/110,223 = 110,223/x
  3. Step 3: Cross multiply
    74,457x = 110,223 × 110,223
  4. Step 4: Simplify right side
    74,457x = 12,149,109,729
  5. Step 5: Solve for x
    x = 12,149,109,729/74,457
  6. Step 6: Final answer
    x = 163,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.