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Finding the Third Proportional to 106,920 and 232,054

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Solution

The third proportional to 106,920 and 232,054 is: 503,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 232,054 = 232,054 : x
  2. Step 2: Convert to fraction form
    106,920/232,054 = 232,054/x
  3. Step 3: Cross multiply
    106,920x = 232,054 × 232,054
  4. Step 4: Simplify right side
    106,920x = 53,849,058,916
  5. Step 5: Solve for x
    x = 53,849,058,916/106,920
  6. Step 6: Final answer
    x = 503,638.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.