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Finding the Third Proportional to 73,548.50 and 113,651.13

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Solution

The third proportional to 73,548.50 and 113,651.13 is: 175,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,548.50 : 113,651.13 = 113,651.13 : x
  2. Step 2: Convert to fraction form
    73,548.50/113,651.13 = 113,651.13/x
  3. Step 3: Cross multiply
    73,548.50x = 113,651.13 × 113,651.13
  4. Step 4: Simplify right side
    73,548.50x = 12,916,578,213.77
  5. Step 5: Solve for x
    x = 12,916,578,213.77/73,548.50
  6. Step 6: Final answer
    x = 175,619.87

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Why These Related Problems?

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