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Finding the Third Proportional to 56,933 and 121,258

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Solution

The third proportional to 56,933 and 121,258 is: 258,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,933 : 121,258 = 121,258 : x
  2. Step 2: Convert to fraction form
    56,933/121,258 = 121,258/x
  3. Step 3: Cross multiply
    56,933x = 121,258 × 121,258
  4. Step 4: Simplify right side
    56,933x = 14,703,502,564
  5. Step 5: Solve for x
    x = 14,703,502,564/56,933
  6. Step 6: Final answer
    x = 258,259.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.