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Finding the Third Proportional to 51,483 and 112,807

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Solution

The third proportional to 51,483 and 112,807 is: 247,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,483 : 112,807 = 112,807 : x
  2. Step 2: Convert to fraction form
    51,483/112,807 = 112,807/x
  3. Step 3: Cross multiply
    51,483x = 112,807 × 112,807
  4. Step 4: Simplify right side
    51,483x = 12,725,419,249
  5. Step 5: Solve for x
    x = 12,725,419,249/51,483
  6. Step 6: Final answer
    x = 247,177.11

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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.