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Finding the Third Proportional to 62,319 and 132,414

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Solution

The third proportional to 62,319 and 132,414 is: 281,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,319 : 132,414 = 132,414 : x
  2. Step 2: Convert to fraction form
    62,319/132,414 = 132,414/x
  3. Step 3: Cross multiply
    62,319x = 132,414 × 132,414
  4. Step 4: Simplify right side
    62,319x = 17,533,467,396
  5. Step 5: Solve for x
    x = 17,533,467,396/62,319
  6. Step 6: Final answer
    x = 281,350.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.