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Finding the Third Proportional to 66,324 and 102,848

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Solution

The third proportional to 66,324 and 102,848 is: 159,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324 : 102,848 = 102,848 : x
  2. Step 2: Convert to fraction form
    66,324/102,848 = 102,848/x
  3. Step 3: Cross multiply
    66,324x = 102,848 × 102,848
  4. Step 4: Simplify right side
    66,324x = 10,577,711,104
  5. Step 5: Solve for x
    x = 10,577,711,104/66,324
  6. Step 6: Final answer
    x = 159,485.42

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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.