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Finding the Third Proportional to 51,975.75 and 109,384.88

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Solution

The third proportional to 51,975.75 and 109,384.88 is: 230,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975.75 : 109,384.88 = 109,384.88 : x
  2. Step 2: Convert to fraction form
    51,975.75/109,384.88 = 109,384.88/x
  3. Step 3: Cross multiply
    51,975.75x = 109,384.88 × 109,384.88
  4. Step 4: Simplify right side
    51,975.75x = 11,965,050,878.77
  5. Step 5: Solve for x
    x = 11,965,050,878.77/51,975.75
  6. Step 6: Final answer
    x = 230,204.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.