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Finding the Third Proportional to 66,656 and 106,005

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Solution

The third proportional to 66,656 and 106,005 is: 168,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,656 : 106,005 = 106,005 : x
  2. Step 2: Convert to fraction form
    66,656/106,005 = 106,005/x
  3. Step 3: Cross multiply
    66,656x = 106,005 × 106,005
  4. Step 4: Simplify right side
    66,656x = 11,237,060,025
  5. Step 5: Solve for x
    x = 11,237,060,025/66,656
  6. Step 6: Final answer
    x = 168,582.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.