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Finding the Third Proportional to 51,670 and 113,028

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Solution

The third proportional to 51,670 and 113,028 is: 247,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,670 : 113,028 = 113,028 : x
  2. Step 2: Convert to fraction form
    51,670/113,028 = 113,028/x
  3. Step 3: Cross multiply
    51,670x = 113,028 × 113,028
  4. Step 4: Simplify right side
    51,670x = 12,775,328,784
  5. Step 5: Solve for x
    x = 12,775,328,784/51,670
  6. Step 6: Final answer
    x = 247,248.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.