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Finding the Third Proportional to 45,139.50 and 69,859.13

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Solution

The third proportional to 45,139.50 and 69,859.13 is: 108,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,139.50 : 69,859.13 = 69,859.13 : x
  2. Step 2: Convert to fraction form
    45,139.50/69,859.13 = 69,859.13/x
  3. Step 3: Cross multiply
    45,139.50x = 69,859.13 × 69,859.13
  4. Step 4: Simplify right side
    45,139.50x = 4,880,297,345.77
  5. Step 5: Solve for x
    x = 4,880,297,345.77/45,139.50
  6. Step 6: Final answer
    x = 108,115.89

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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.