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Finding the Third Proportional to 110,081.50 and 130,007.50

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Solution

The third proportional to 110,081.50 and 130,007.50 is: 153,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,081.50 : 130,007.50 = 130,007.50 : x
  2. Step 2: Convert to fraction form
    110,081.50/130,007.50 = 130,007.50/x
  3. Step 3: Cross multiply
    110,081.50x = 130,007.50 × 130,007.50
  4. Step 4: Simplify right side
    110,081.50x = 16,901,950,056.25
  5. Step 5: Solve for x
    x = 16,901,950,056.25/110,081.50
  6. Step 6: Final answer
    x = 153,540.33

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.