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Finding the Third Proportional to 53,856 and 125,784

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Solution

The third proportional to 53,856 and 125,784 is: 293,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 125,784 = 125,784 : x
  2. Step 2: Convert to fraction form
    53,856/125,784 = 125,784/x
  3. Step 3: Cross multiply
    53,856x = 125,784 × 125,784
  4. Step 4: Simplify right side
    53,856x = 15,821,614,656
  5. Step 5: Solve for x
    x = 15,821,614,656/53,856
  6. Step 6: Final answer
    x = 293,776.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.