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Finding the Third Proportional to 105,652 and 234,927

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Solution

The third proportional to 105,652 and 234,927 is: 522,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652 : 234,927 = 234,927 : x
  2. Step 2: Convert to fraction form
    105,652/234,927 = 234,927/x
  3. Step 3: Cross multiply
    105,652x = 234,927 × 234,927
  4. Step 4: Simplify right side
    105,652x = 55,190,695,329
  5. Step 5: Solve for x
    x = 55,190,695,329/105,652
  6. Step 6: Final answer
    x = 522,381.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.