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Finding the Third Proportional to 66,008 and 102,324

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Solution

The third proportional to 66,008 and 102,324 is: 158,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008 : 102,324 = 102,324 : x
  2. Step 2: Convert to fraction form
    66,008/102,324 = 102,324/x
  3. Step 3: Cross multiply
    66,008x = 102,324 × 102,324
  4. Step 4: Simplify right side
    66,008x = 10,470,200,976
  5. Step 5: Solve for x
    x = 10,470,200,976/66,008
  6. Step 6: Final answer
    x = 158,620.18

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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.