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Finding the Third Proportional to 49,576 and 112,924

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Solution

The third proportional to 49,576 and 112,924 is: 257,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576 : 112,924 = 112,924 : x
  2. Step 2: Convert to fraction form
    49,576/112,924 = 112,924/x
  3. Step 3: Cross multiply
    49,576x = 112,924 × 112,924
  4. Step 4: Simplify right side
    49,576x = 12,751,829,776
  5. Step 5: Solve for x
    x = 12,751,829,776/49,576
  6. Step 6: Final answer
    x = 257,217.80

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.