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Finding the Third Proportional to 77,767 and 160,718

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Solution

The third proportional to 77,767 and 160,718 is: 332,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,767 : 160,718 = 160,718 : x
  2. Step 2: Convert to fraction form
    77,767/160,718 = 160,718/x
  3. Step 3: Cross multiply
    77,767x = 160,718 × 160,718
  4. Step 4: Simplify right side
    77,767x = 25,830,275,524
  5. Step 5: Solve for x
    x = 25,830,275,524/77,767
  6. Step 6: Final answer
    x = 332,149.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.