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Finding the Third Proportional to 47,973 and 112,053

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Solution

The third proportional to 47,973 and 112,053 is: 261,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,973 : 112,053 = 112,053 : x
  2. Step 2: Convert to fraction form
    47,973/112,053 = 112,053/x
  3. Step 3: Cross multiply
    47,973x = 112,053 × 112,053
  4. Step 4: Simplify right side
    47,973x = 12,555,874,809
  5. Step 5: Solve for x
    x = 12,555,874,809/47,973
  6. Step 6: Final answer
    x = 261,727.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.