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Finding the Third Proportional to 49,366 and 74,898

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Solution

The third proportional to 49,366 and 74,898 is: 113,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,366 : 74,898 = 74,898 : x
  2. Step 2: Convert to fraction form
    49,366/74,898 = 74,898/x
  3. Step 3: Cross multiply
    49,366x = 74,898 × 74,898
  4. Step 4: Simplify right side
    49,366x = 5,609,710,404
  5. Step 5: Solve for x
    x = 5,609,710,404/49,366
  6. Step 6: Final answer
    x = 113,635.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.