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Finding the Third Proportional to 53,838 and 125,115

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Solution

The third proportional to 53,838 and 125,115 is: 290,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 125,115 = 125,115 : x
  2. Step 2: Convert to fraction form
    53,838/125,115 = 125,115/x
  3. Step 3: Cross multiply
    53,838x = 125,115 × 125,115
  4. Step 4: Simplify right side
    53,838x = 15,653,763,225
  5. Step 5: Solve for x
    x = 15,653,763,225/53,838
  6. Step 6: Final answer
    x = 290,756.77

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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.