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Finding the Third Proportional to 66,324 and 102,849

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Solution

The third proportional to 66,324 and 102,849 is: 159,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324 : 102,849 = 102,849 : x
  2. Step 2: Convert to fraction form
    66,324/102,849 = 102,849/x
  3. Step 3: Cross multiply
    66,324x = 102,849 × 102,849
  4. Step 4: Simplify right side
    66,324x = 10,577,916,801
  5. Step 5: Solve for x
    x = 10,577,916,801/66,324
  6. Step 6: Final answer
    x = 159,488.52

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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.