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Finding the Third Proportional to 66,414 and 102,837

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Solution

The third proportional to 66,414 and 102,837 is: 159,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,414 : 102,837 = 102,837 : x
  2. Step 2: Convert to fraction form
    66,414/102,837 = 102,837/x
  3. Step 3: Cross multiply
    66,414x = 102,837 × 102,837
  4. Step 4: Simplify right side
    66,414x = 10,575,448,569
  5. Step 5: Solve for x
    x = 10,575,448,569/66,414
  6. Step 6: Final answer
    x = 159,235.23

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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.