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Finding the Third Proportional to 100,460 and 155,676

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Solution

The third proportional to 100,460 and 155,676 is: 241,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 155,676 = 155,676 : x
  2. Step 2: Convert to fraction form
    100,460/155,676 = 155,676/x
  3. Step 3: Cross multiply
    100,460x = 155,676 × 155,676
  4. Step 4: Simplify right side
    100,460x = 24,235,016,976
  5. Step 5: Solve for x
    x = 24,235,016,976/100,460
  6. Step 6: Final answer
    x = 241,240.46

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Why These Related Problems?

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