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Finding the Third Proportional to 112,824.14 and 240,137.16

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Solution

The third proportional to 112,824.14 and 240,137.16 is: 511,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824.14 : 240,137.16 = 240,137.16 : x
  2. Step 2: Convert to fraction form
    112,824.14/240,137.16 = 240,137.16/x
  3. Step 3: Cross multiply
    112,824.14x = 240,137.16 × 240,137.16
  4. Step 4: Simplify right side
    112,824.14x = 57,665,853,811.84
  5. Step 5: Solve for x
    x = 57,665,853,811.84/112,824.14
  6. Step 6: Final answer
    x = 511,112.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.