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Finding the Third Proportional to 59,780 and 125,757

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Solution

The third proportional to 59,780 and 125,757 is: 264,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 125,757 = 125,757 : x
  2. Step 2: Convert to fraction form
    59,780/125,757 = 125,757/x
  3. Step 3: Cross multiply
    59,780x = 125,757 × 125,757
  4. Step 4: Simplify right side
    59,780x = 15,814,823,049
  5. Step 5: Solve for x
    x = 15,814,823,049/59,780
  6. Step 6: Final answer
    x = 264,550.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.