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Finding the Third Proportional to 59,677 and 128,694

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Solution

The third proportional to 59,677 and 128,694 is: 277,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,677 : 128,694 = 128,694 : x
  2. Step 2: Convert to fraction form
    59,677/128,694 = 128,694/x
  3. Step 3: Cross multiply
    59,677x = 128,694 × 128,694
  4. Step 4: Simplify right side
    59,677x = 16,562,145,636
  5. Step 5: Solve for x
    x = 16,562,145,636/59,677
  6. Step 6: Final answer
    x = 277,529.80

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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.