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Finding the Third Proportional to 55,011 and 105,648

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Solution

The third proportional to 55,011 and 105,648 is: 202,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,011 : 105,648 = 105,648 : x
  2. Step 2: Convert to fraction form
    55,011/105,648 = 105,648/x
  3. Step 3: Cross multiply
    55,011x = 105,648 × 105,648
  4. Step 4: Simplify right side
    55,011x = 11,161,499,904
  5. Step 5: Solve for x
    x = 11,161,499,904/55,011
  6. Step 6: Final answer
    x = 202,895.78

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.