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Finding the Third Proportional to 49,326 and 106,428

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Solution

The third proportional to 49,326 and 106,428 is: 229,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326 : 106,428 = 106,428 : x
  2. Step 2: Convert to fraction form
    49,326/106,428 = 106,428/x
  3. Step 3: Cross multiply
    49,326x = 106,428 × 106,428
  4. Step 4: Simplify right side
    49,326x = 11,326,919,184
  5. Step 5: Solve for x
    x = 11,326,919,184/49,326
  6. Step 6: Final answer
    x = 229,633.85

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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.