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Finding the Third Proportional to 70,388 and 110,192

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Solution

The third proportional to 70,388 and 110,192 is: 172,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388 : 110,192 = 110,192 : x
  2. Step 2: Convert to fraction form
    70,388/110,192 = 110,192/x
  3. Step 3: Cross multiply
    70,388x = 110,192 × 110,192
  4. Step 4: Simplify right side
    70,388x = 12,142,276,864
  5. Step 5: Solve for x
    x = 12,142,276,864/70,388
  6. Step 6: Final answer
    x = 172,504.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.