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Finding the Third Proportional to 45,535.50 and 92,299.50

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Solution

The third proportional to 45,535.50 and 92,299.50 is: 187,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,535.50 : 92,299.50 = 92,299.50 : x
  2. Step 2: Convert to fraction form
    45,535.50/92,299.50 = 92,299.50/x
  3. Step 3: Cross multiply
    45,535.50x = 92,299.50 × 92,299.50
  4. Step 4: Simplify right side
    45,535.50x = 8,519,197,700.25
  5. Step 5: Solve for x
    x = 8,519,197,700.25/45,535.50
  6. Step 6: Final answer
    x = 187,089.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.