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Finding the Third Proportional to 58,634 and 128,374

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Solution

The third proportional to 58,634 and 128,374 is: 281,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,634 : 128,374 = 128,374 : x
  2. Step 2: Convert to fraction form
    58,634/128,374 = 128,374/x
  3. Step 3: Cross multiply
    58,634x = 128,374 × 128,374
  4. Step 4: Simplify right side
    58,634x = 16,479,883,876
  5. Step 5: Solve for x
    x = 16,479,883,876/58,634
  6. Step 6: Final answer
    x = 281,063.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.