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Finding the Third Proportional to 49,202 and 74,384

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Solution

The third proportional to 49,202 and 74,384 is: 112,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202 : 74,384 = 74,384 : x
  2. Step 2: Convert to fraction form
    49,202/74,384 = 74,384/x
  3. Step 3: Cross multiply
    49,202x = 74,384 × 74,384
  4. Step 4: Simplify right side
    49,202x = 5,532,979,456
  5. Step 5: Solve for x
    x = 5,532,979,456/49,202
  6. Step 6: Final answer
    x = 112,454.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.