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Finding the Third Proportional to 51,497.02 and 106,274.53

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Solution

The third proportional to 51,497.02 and 106,274.53 is: 219,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.02 : 106,274.53 = 106,274.53 : x
  2. Step 2: Convert to fraction form
    51,497.02/106,274.53 = 106,274.53/x
  3. Step 3: Cross multiply
    51,497.02x = 106,274.53 × 106,274.53
  4. Step 4: Simplify right side
    51,497.02x = 11,294,275,992.41
  5. Step 5: Solve for x
    x = 11,294,275,992.41/51,497.02
  6. Step 6: Final answer
    x = 219,319.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.