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Finding the Third Proportional to 100,048 and 140,712

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Solution

The third proportional to 100,048 and 140,712 is: 197,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,048 : 140,712 = 140,712 : x
  2. Step 2: Convert to fraction form
    100,048/140,712 = 140,712/x
  3. Step 3: Cross multiply
    100,048x = 140,712 × 140,712
  4. Step 4: Simplify right side
    100,048x = 19,799,866,944
  5. Step 5: Solve for x
    x = 19,799,866,944/100,048
  6. Step 6: Final answer
    x = 197,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.