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Finding the Third Proportional to 68,389.50 and 106,735.50

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Solution

The third proportional to 68,389.50 and 106,735.50 is: 166,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,389.50 : 106,735.50 = 106,735.50 : x
  2. Step 2: Convert to fraction form
    68,389.50/106,735.50 = 106,735.50/x
  3. Step 3: Cross multiply
    68,389.50x = 106,735.50 × 106,735.50
  4. Step 4: Simplify right side
    68,389.50x = 11,392,466,960.25
  5. Step 5: Solve for x
    x = 11,392,466,960.25/68,389.50
  6. Step 6: Final answer
    x = 166,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.