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Finding the Third Proportional to 49,560 and 106,896

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Solution

The third proportional to 49,560 and 106,896 is: 230,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,560 : 106,896 = 106,896 : x
  2. Step 2: Convert to fraction form
    49,560/106,896 = 106,896/x
  3. Step 3: Cross multiply
    49,560x = 106,896 × 106,896
  4. Step 4: Simplify right side
    49,560x = 11,426,754,816
  5. Step 5: Solve for x
    x = 11,426,754,816/49,560
  6. Step 6: Final answer
    x = 230,564.06

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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.