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Finding the Third Proportional to 77,700.75 and 160,923

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Solution

The third proportional to 77,700.75 and 160,923 is: 333,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,700.75 : 160,923 = 160,923 : x
  2. Step 2: Convert to fraction form
    77,700.75/160,923 = 160,923/x
  3. Step 3: Cross multiply
    77,700.75x = 160,923 × 160,923
  4. Step 4: Simplify right side
    77,700.75x = 25,896,211,929
  5. Step 5: Solve for x
    x = 25,896,211,929/77,700.75
  6. Step 6: Final answer
    x = 333,281.36

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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.