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Finding the Third Proportional to 77,922 and 116,883

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Solution

The third proportional to 77,922 and 116,883 is: 175,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922 : 116,883 = 116,883 : x
  2. Step 2: Convert to fraction form
    77,922/116,883 = 116,883/x
  3. Step 3: Cross multiply
    77,922x = 116,883 × 116,883
  4. Step 4: Simplify right side
    77,922x = 13,661,635,689
  5. Step 5: Solve for x
    x = 13,661,635,689/77,922
  6. Step 6: Final answer
    x = 175,324.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.