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Finding the Third Proportional to 58,927 and 109,236

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Solution

The third proportional to 58,927 and 109,236 is: 202,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,927 : 109,236 = 109,236 : x
  2. Step 2: Convert to fraction form
    58,927/109,236 = 109,236/x
  3. Step 3: Cross multiply
    58,927x = 109,236 × 109,236
  4. Step 4: Simplify right side
    58,927x = 11,932,503,696
  5. Step 5: Solve for x
    x = 11,932,503,696/58,927
  6. Step 6: Final answer
    x = 202,496.37

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.