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Finding the Third Proportional to 65,006 and 140,673

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Solution

The third proportional to 65,006 and 140,673 is: 304,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006 : 140,673 = 140,673 : x
  2. Step 2: Convert to fraction form
    65,006/140,673 = 140,673/x
  3. Step 3: Cross multiply
    65,006x = 140,673 × 140,673
  4. Step 4: Simplify right side
    65,006x = 19,788,892,929
  5. Step 5: Solve for x
    x = 19,788,892,929/65,006
  6. Step 6: Final answer
    x = 304,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.