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Finding the Third Proportional to 116,113.50 and 179,455.50

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Solution

The third proportional to 116,113.50 and 179,455.50 is: 277,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,113.50 : 179,455.50 = 179,455.50 : x
  2. Step 2: Convert to fraction form
    116,113.50/179,455.50 = 179,455.50/x
  3. Step 3: Cross multiply
    116,113.50x = 179,455.50 × 179,455.50
  4. Step 4: Simplify right side
    116,113.50x = 32,204,276,480.25
  5. Step 5: Solve for x
    x = 32,204,276,480.25/116,113.50
  6. Step 6: Final answer
    x = 277,351.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.