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Finding the Third Proportional to 52,809.94 and 117,427.19

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Solution

The third proportional to 52,809.94 and 117,427.19 is: 261,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.94 : 117,427.19 = 117,427.19 : x
  2. Step 2: Convert to fraction form
    52,809.94/117,427.19 = 117,427.19/x
  3. Step 3: Cross multiply
    52,809.94x = 117,427.19 × 117,427.19
  4. Step 4: Simplify right side
    52,809.94x = 13,789,144,364.16
  5. Step 5: Solve for x
    x = 13,789,144,364.16/52,809.94
  6. Step 6: Final answer
    x = 261,108.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.