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Finding the Third Proportional to 48,532.50 and 106,045.88

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Solution

The third proportional to 48,532.50 and 106,045.88 is: 231,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532.50 : 106,045.88 = 106,045.88 : x
  2. Step 2: Convert to fraction form
    48,532.50/106,045.88 = 106,045.88/x
  3. Step 3: Cross multiply
    48,532.50x = 106,045.88 × 106,045.88
  4. Step 4: Simplify right side
    48,532.50x = 11,245,727,604.52
  5. Step 5: Solve for x
    x = 11,245,727,604.52/48,532.50
  6. Step 6: Final answer
    x = 231,715.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.