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Finding the Third Proportional to 48,813 and 106,576.25

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Solution

The third proportional to 48,813 and 106,576.25 is: 232,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,813 : 106,576.25 = 106,576.25 : x
  2. Step 2: Convert to fraction form
    48,813/106,576.25 = 106,576.25/x
  3. Step 3: Cross multiply
    48,813x = 106,576.25 × 106,576.25
  4. Step 4: Simplify right side
    48,813x = 11,358,497,064.06
  5. Step 5: Solve for x
    x = 11,358,497,064.06/48,813
  6. Step 6: Final answer
    x = 232,694.10

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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.