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Finding the Third Proportional to 49,326 and 106,535

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Solution

The third proportional to 49,326 and 106,535 is: 230,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326 : 106,535 = 106,535 : x
  2. Step 2: Convert to fraction form
    49,326/106,535 = 106,535/x
  3. Step 3: Cross multiply
    49,326x = 106,535 × 106,535
  4. Step 4: Simplify right side
    49,326x = 11,349,706,225
  5. Step 5: Solve for x
    x = 11,349,706,225/49,326
  6. Step 6: Final answer
    x = 230,095.82

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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.