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Finding the Third Proportional to 52,740.28 and 107,438.91

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Solution

The third proportional to 52,740.28 and 107,438.91 is: 218,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,740.28 : 107,438.91 = 107,438.91 : x
  2. Step 2: Convert to fraction form
    52,740.28/107,438.91 = 107,438.91/x
  3. Step 3: Cross multiply
    52,740.28x = 107,438.91 × 107,438.91
  4. Step 4: Simplify right side
    52,740.28x = 11,543,118,576.20
  5. Step 5: Solve for x
    x = 11,543,118,576.20/52,740.28
  6. Step 6: Final answer
    x = 218,867.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.