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Finding the Third Proportional to 68,271 and 106,001

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Solution

The third proportional to 68,271 and 106,001 is: 164,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,271 : 106,001 = 106,001 : x
  2. Step 2: Convert to fraction form
    68,271/106,001 = 106,001/x
  3. Step 3: Cross multiply
    68,271x = 106,001 × 106,001
  4. Step 4: Simplify right side
    68,271x = 11,236,212,001
  5. Step 5: Solve for x
    x = 11,236,212,001/68,271
  6. Step 6: Final answer
    x = 164,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.