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Finding the Third Proportional to 59,414 and 128,524

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Solution

The third proportional to 59,414 and 128,524 is: 278,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,414 : 128,524 = 128,524 : x
  2. Step 2: Convert to fraction form
    59,414/128,524 = 128,524/x
  3. Step 3: Cross multiply
    59,414x = 128,524 × 128,524
  4. Step 4: Simplify right side
    59,414x = 16,518,418,576
  5. Step 5: Solve for x
    x = 16,518,418,576/59,414
  6. Step 6: Final answer
    x = 278,022.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.