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Finding the Third Proportional to 59,676 and 128,696

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Solution

The third proportional to 59,676 and 128,696 is: 277,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,676 : 128,696 = 128,696 : x
  2. Step 2: Convert to fraction form
    59,676/128,696 = 128,696/x
  3. Step 3: Cross multiply
    59,676x = 128,696 × 128,696
  4. Step 4: Simplify right side
    59,676x = 16,562,660,416
  5. Step 5: Solve for x
    x = 16,562,660,416/59,676
  6. Step 6: Final answer
    x = 277,543.07

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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.