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Finding the Third Proportional to 53,844 and 125,130

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Solution

The third proportional to 53,844 and 125,130 is: 290,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,844 : 125,130 = 125,130 : x
  2. Step 2: Convert to fraction form
    53,844/125,130 = 125,130/x
  3. Step 3: Cross multiply
    53,844x = 125,130 × 125,130
  4. Step 4: Simplify right side
    53,844x = 15,657,516,900
  5. Step 5: Solve for x
    x = 15,657,516,900/53,844
  6. Step 6: Final answer
    x = 290,794.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.