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Finding the Third Proportional to 56,464 and 121,856

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Solution

The third proportional to 56,464 and 121,856 is: 262,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464 : 121,856 = 121,856 : x
  2. Step 2: Convert to fraction form
    56,464/121,856 = 121,856/x
  3. Step 3: Cross multiply
    56,464x = 121,856 × 121,856
  4. Step 4: Simplify right side
    56,464x = 14,848,884,736
  5. Step 5: Solve for x
    x = 14,848,884,736/56,464
  6. Step 6: Final answer
    x = 262,979.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.