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Finding the Third Proportional to 96,042 and 145,388

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Solution

The third proportional to 96,042 and 145,388 is: 220,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,042 : 145,388 = 145,388 : x
  2. Step 2: Convert to fraction form
    96,042/145,388 = 145,388/x
  3. Step 3: Cross multiply
    96,042x = 145,388 × 145,388
  4. Step 4: Simplify right side
    96,042x = 21,137,670,544
  5. Step 5: Solve for x
    x = 21,137,670,544/96,042
  6. Step 6: Final answer
    x = 220,087.78

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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.