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Finding the Third Proportional to 48,696 and 105,732

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Solution

The third proportional to 48,696 and 105,732 is: 229,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 105,732 = 105,732 : x
  2. Step 2: Convert to fraction form
    48,696/105,732 = 105,732/x
  3. Step 3: Cross multiply
    48,696x = 105,732 × 105,732
  4. Step 4: Simplify right side
    48,696x = 11,179,255,824
  5. Step 5: Solve for x
    x = 11,179,255,824/48,696
  6. Step 6: Final answer
    x = 229,572.36

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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.