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Finding the Third Proportional to 52,306.50 and 114,393.75

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Solution

The third proportional to 52,306.50 and 114,393.75 is: 250,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306.50 : 114,393.75 = 114,393.75 : x
  2. Step 2: Convert to fraction form
    52,306.50/114,393.75 = 114,393.75/x
  3. Step 3: Cross multiply
    52,306.50x = 114,393.75 × 114,393.75
  4. Step 4: Simplify right side
    52,306.50x = 13,085,930,039.06
  5. Step 5: Solve for x
    x = 13,085,930,039.06/52,306.50
  6. Step 6: Final answer
    x = 250,177.89

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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.