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Finding the Third Proportional to 59,668 and 128,678

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Solution

The third proportional to 59,668 and 128,678 is: 277,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,668 : 128,678 = 128,678 : x
  2. Step 2: Convert to fraction form
    59,668/128,678 = 128,678/x
  3. Step 3: Cross multiply
    59,668x = 128,678 × 128,678
  4. Step 4: Simplify right side
    59,668x = 16,558,027,684
  5. Step 5: Solve for x
    x = 16,558,027,684/59,668
  6. Step 6: Final answer
    x = 277,502.64

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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.