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Finding the Third Proportional to 88,764 and 193,080

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Solution

The third proportional to 88,764 and 193,080 is: 419,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,764 : 193,080 = 193,080 : x
  2. Step 2: Convert to fraction form
    88,764/193,080 = 193,080/x
  3. Step 3: Cross multiply
    88,764x = 193,080 × 193,080
  4. Step 4: Simplify right side
    88,764x = 37,279,886,400
  5. Step 5: Solve for x
    x = 37,279,886,400/88,764
  6. Step 6: Final answer
    x = 419,988.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.