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Finding the Third Proportional to 51,135.19 and 109,377.56

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Solution

The third proportional to 51,135.19 and 109,377.56 is: 233,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135.19 : 109,377.56 = 109,377.56 : x
  2. Step 2: Convert to fraction form
    51,135.19/109,377.56 = 109,377.56/x
  3. Step 3: Cross multiply
    51,135.19x = 109,377.56 × 109,377.56
  4. Step 4: Simplify right side
    51,135.19x = 11,963,451,178.44
  5. Step 5: Solve for x
    x = 11,963,451,178.44/51,135.19
  6. Step 6: Final answer
    x = 233,957.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.