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Finding the Third Proportional to 55,896 and 121,048

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Solution

The third proportional to 55,896 and 121,048 is: 262,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896 : 121,048 = 121,048 : x
  2. Step 2: Convert to fraction form
    55,896/121,048 = 121,048/x
  3. Step 3: Cross multiply
    55,896x = 121,048 × 121,048
  4. Step 4: Simplify right side
    55,896x = 14,652,618,304
  5. Step 5: Solve for x
    x = 14,652,618,304/55,896
  6. Step 6: Final answer
    x = 262,140.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.