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Finding the Third Proportional to 52,623 and 116,322.75

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Solution

The third proportional to 52,623 and 116,322.75 is: 257,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,623 : 116,322.75 = 116,322.75 : x
  2. Step 2: Convert to fraction form
    52,623/116,322.75 = 116,322.75/x
  3. Step 3: Cross multiply
    52,623x = 116,322.75 × 116,322.75
  4. Step 4: Simplify right side
    52,623x = 13,530,982,167.56
  5. Step 5: Solve for x
    x = 13,530,982,167.56/52,623
  6. Step 6: Final answer
    x = 257,130.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.