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Finding the Third Proportional to 100,007 and 140,673

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Solution

The third proportional to 100,007 and 140,673 is: 197,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007 : 140,673 = 140,673 : x
  2. Step 2: Convert to fraction form
    100,007/140,673 = 140,673/x
  3. Step 3: Cross multiply
    100,007x = 140,673 × 140,673
  4. Step 4: Simplify right side
    100,007x = 19,788,892,929
  5. Step 5: Solve for x
    x = 19,788,892,929/100,007
  6. Step 6: Final answer
    x = 197,875.08

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