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Finding the Third Proportional to 77,772.75 and 116,631

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Solution

The third proportional to 77,772.75 and 116,631 is: 174,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,772.75 : 116,631 = 116,631 : x
  2. Step 2: Convert to fraction form
    77,772.75/116,631 = 116,631/x
  3. Step 3: Cross multiply
    77,772.75x = 116,631 × 116,631
  4. Step 4: Simplify right side
    77,772.75x = 13,602,790,161
  5. Step 5: Solve for x
    x = 13,602,790,161/77,772.75
  6. Step 6: Final answer
    x = 174,904.32

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