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Finding the Third Proportional to 45,927 and 106,504.88

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Solution

The third proportional to 45,927 and 106,504.88 is: 246,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 106,504.88 = 106,504.88 : x
  2. Step 2: Convert to fraction form
    45,927/106,504.88 = 106,504.88/x
  3. Step 3: Cross multiply
    45,927x = 106,504.88 × 106,504.88
  4. Step 4: Simplify right side
    45,927x = 11,343,288,398.77
  5. Step 5: Solve for x
    x = 11,343,288,398.77/45,927
  6. Step 6: Final answer
    x = 246,985.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.