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Finding the Third Proportional to 77,761.69 and 116,155.69

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Solution

The third proportional to 77,761.69 and 116,155.69 is: 173,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.69 : 116,155.69 = 116,155.69 : x
  2. Step 2: Convert to fraction form
    77,761.69/116,155.69 = 116,155.69/x
  3. Step 3: Cross multiply
    77,761.69x = 116,155.69 × 116,155.69
  4. Step 4: Simplify right side
    77,761.69x = 13,492,143,738.60
  5. Step 5: Solve for x
    x = 13,492,143,738.60/77,761.69
  6. Step 6: Final answer
    x = 173,506.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.