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Finding the Third Proportional to 105,256 and 162,940

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Solution

The third proportional to 105,256 and 162,940 is: 252,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,256 : 162,940 = 162,940 : x
  2. Step 2: Convert to fraction form
    105,256/162,940 = 162,940/x
  3. Step 3: Cross multiply
    105,256x = 162,940 × 162,940
  4. Step 4: Simplify right side
    105,256x = 26,549,443,600
  5. Step 5: Solve for x
    x = 26,549,443,600/105,256
  6. Step 6: Final answer
    x = 252,236.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.