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Finding the Third Proportional to 54,646 and 120,010

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Solution

The third proportional to 54,646 and 120,010 is: 263,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646 : 120,010 = 120,010 : x
  2. Step 2: Convert to fraction form
    54,646/120,010 = 120,010/x
  3. Step 3: Cross multiply
    54,646x = 120,010 × 120,010
  4. Step 4: Simplify right side
    54,646x = 14,402,400,100
  5. Step 5: Solve for x
    x = 14,402,400,100/54,646
  6. Step 6: Final answer
    x = 263,558.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.