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Finding the Third Proportional to 51,888.41 and 111,952.13

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Solution

The third proportional to 51,888.41 and 111,952.13 is: 241,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888.41 : 111,952.13 = 111,952.13 : x
  2. Step 2: Convert to fraction form
    51,888.41/111,952.13 = 111,952.13/x
  3. Step 3: Cross multiply
    51,888.41x = 111,952.13 × 111,952.13
  4. Step 4: Simplify right side
    51,888.41x = 12,533,278,292.02
  5. Step 5: Solve for x
    x = 12,533,278,292.02/51,888.41
  6. Step 6: Final answer
    x = 241,542.92

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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.