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Finding the Third Proportional to 48,710 and 105,006

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Solution

The third proportional to 48,710 and 105,006 is: 226,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,710 : 105,006 = 105,006 : x
  2. Step 2: Convert to fraction form
    48,710/105,006 = 105,006/x
  3. Step 3: Cross multiply
    48,710x = 105,006 × 105,006
  4. Step 4: Simplify right side
    48,710x = 11,026,260,036
  5. Step 5: Solve for x
    x = 11,026,260,036/48,710
  6. Step 6: Final answer
    x = 226,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.