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Finding the Third Proportional to 52,588.50 and 115,383

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Solution

The third proportional to 52,588.50 and 115,383 is: 253,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,588.50 : 115,383 = 115,383 : x
  2. Step 2: Convert to fraction form
    52,588.50/115,383 = 115,383/x
  3. Step 3: Cross multiply
    52,588.50x = 115,383 × 115,383
  4. Step 4: Simplify right side
    52,588.50x = 13,313,236,689
  5. Step 5: Solve for x
    x = 13,313,236,689/52,588.50
  6. Step 6: Final answer
    x = 253,158.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.