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Finding the Third Proportional to 49,017 and 106,053

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Solution

The third proportional to 49,017 and 106,053 is: 229,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,017 : 106,053 = 106,053 : x
  2. Step 2: Convert to fraction form
    49,017/106,053 = 106,053/x
  3. Step 3: Cross multiply
    49,017x = 106,053 × 106,053
  4. Step 4: Simplify right side
    49,017x = 11,247,238,809
  5. Step 5: Solve for x
    x = 11,247,238,809/49,017
  6. Step 6: Final answer
    x = 229,455.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.