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Finding the Third Proportional to 51,975.42 and 112,246.07

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Solution

The third proportional to 51,975.42 and 112,246.07 is: 242,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975.42 : 112,246.07 = 112,246.07 : x
  2. Step 2: Convert to fraction form
    51,975.42/112,246.07 = 112,246.07/x
  3. Step 3: Cross multiply
    51,975.42x = 112,246.07 × 112,246.07
  4. Step 4: Simplify right side
    51,975.42x = 12,599,179,423.68
  5. Step 5: Solve for x
    x = 12,599,179,423.68/51,975.42
  6. Step 6: Final answer
    x = 242,406.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.