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Finding the Third Proportional to 68,006 and 145,840

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Solution

The third proportional to 68,006 and 145,840 is: 312,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,006 : 145,840 = 145,840 : x
  2. Step 2: Convert to fraction form
    68,006/145,840 = 145,840/x
  3. Step 3: Cross multiply
    68,006x = 145,840 × 145,840
  4. Step 4: Simplify right side
    68,006x = 21,269,305,600
  5. Step 5: Solve for x
    x = 21,269,305,600/68,006
  6. Step 6: Final answer
    x = 312,756.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.