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Finding the Third Proportional to 49,368 and 104,664

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Solution

The third proportional to 49,368 and 104,664 is: 221,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,368 : 104,664 = 104,664 : x
  2. Step 2: Convert to fraction form
    49,368/104,664 = 104,664/x
  3. Step 3: Cross multiply
    49,368x = 104,664 × 104,664
  4. Step 4: Simplify right side
    49,368x = 10,954,552,896
  5. Step 5: Solve for x
    x = 10,954,552,896/49,368
  6. Step 6: Final answer
    x = 221,895.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.