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Finding the Third Proportional to 59,698 and 128,720

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Solution

The third proportional to 59,698 and 128,720 is: 277,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,698 : 128,720 = 128,720 : x
  2. Step 2: Convert to fraction form
    59,698/128,720 = 128,720/x
  3. Step 3: Cross multiply
    59,698x = 128,720 × 128,720
  4. Step 4: Simplify right side
    59,698x = 16,568,838,400
  5. Step 5: Solve for x
    x = 16,568,838,400/59,698
  6. Step 6: Final answer
    x = 277,544.28

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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.