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Finding the Third Proportional to 68,014 and 146,468

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Solution

The third proportional to 68,014 and 146,468 is: 315,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014 : 146,468 = 146,468 : x
  2. Step 2: Convert to fraction form
    68,014/146,468 = 146,468/x
  3. Step 3: Cross multiply
    68,014x = 146,468 × 146,468
  4. Step 4: Simplify right side
    68,014x = 21,452,875,024
  5. Step 5: Solve for x
    x = 21,452,875,024/68,014
  6. Step 6: Final answer
    x = 315,418.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.