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Finding the Third Proportional to 49,287 and 107,583

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Solution

The third proportional to 49,287 and 107,583 is: 234,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,287 : 107,583 = 107,583 : x
  2. Step 2: Convert to fraction form
    49,287/107,583 = 107,583/x
  3. Step 3: Cross multiply
    49,287x = 107,583 × 107,583
  4. Step 4: Simplify right side
    49,287x = 11,574,101,889
  5. Step 5: Solve for x
    x = 11,574,101,889/49,287
  6. Step 6: Final answer
    x = 234,830.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.