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Finding the Third Proportional to 68,614 and 146,444

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Solution

The third proportional to 68,614 and 146,444 is: 312,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614 : 146,444 = 146,444 : x
  2. Step 2: Convert to fraction form
    68,614/146,444 = 146,444/x
  3. Step 3: Cross multiply
    68,614x = 146,444 × 146,444
  4. Step 4: Simplify right side
    68,614x = 21,445,845,136
  5. Step 5: Solve for x
    x = 21,445,845,136/68,614
  6. Step 6: Final answer
    x = 312,557.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.