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Finding the Third Proportional to 49,442 and 73,605

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Solution

The third proportional to 49,442 and 73,605 is: 109,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442 : 73,605 = 73,605 : x
  2. Step 2: Convert to fraction form
    49,442/73,605 = 73,605/x
  3. Step 3: Cross multiply
    49,442x = 73,605 × 73,605
  4. Step 4: Simplify right side
    49,442x = 5,417,696,025
  5. Step 5: Solve for x
    x = 5,417,696,025/49,442
  6. Step 6: Final answer
    x = 109,576.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.