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Finding the Third Proportional to 53,120 and 117,896

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Solution

The third proportional to 53,120 and 117,896 is: 261,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,120 : 117,896 = 117,896 : x
  2. Step 2: Convert to fraction form
    53,120/117,896 = 117,896/x
  3. Step 3: Cross multiply
    53,120x = 117,896 × 117,896
  4. Step 4: Simplify right side
    53,120x = 13,899,466,816
  5. Step 5: Solve for x
    x = 13,899,466,816/53,120
  6. Step 6: Final answer
    x = 261,661.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.