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Finding the Third Proportional to 58,682 and 128,128

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Solution

The third proportional to 58,682 and 128,128 is: 279,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,682 : 128,128 = 128,128 : x
  2. Step 2: Convert to fraction form
    58,682/128,128 = 128,128/x
  3. Step 3: Cross multiply
    58,682x = 128,128 × 128,128
  4. Step 4: Simplify right side
    58,682x = 16,416,784,384
  5. Step 5: Solve for x
    x = 16,416,784,384/58,682
  6. Step 6: Final answer
    x = 279,758.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.