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Finding the Third Proportional to 100,424 and 155,592

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Solution

The third proportional to 100,424 and 155,592 is: 241,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424 : 155,592 = 155,592 : x
  2. Step 2: Convert to fraction form
    100,424/155,592 = 155,592/x
  3. Step 3: Cross multiply
    100,424x = 155,592 × 155,592
  4. Step 4: Simplify right side
    100,424x = 24,208,870,464
  5. Step 5: Solve for x
    x = 24,208,870,464/100,424
  6. Step 6: Final answer
    x = 241,066.58

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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.