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Finding the Third Proportional to 77,785 and 160,754

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Solution

The third proportional to 77,785 and 160,754 is: 332,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785 : 160,754 = 160,754 : x
  2. Step 2: Convert to fraction form
    77,785/160,754 = 160,754/x
  3. Step 3: Cross multiply
    77,785x = 160,754 × 160,754
  4. Step 4: Simplify right side
    77,785x = 25,841,848,516
  5. Step 5: Solve for x
    x = 25,841,848,516/77,785
  6. Step 6: Final answer
    x = 332,221.49

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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.