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Finding the Third Proportional to 96,084 and 154,383

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Solution

The third proportional to 96,084 and 154,383 is: 248,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,084 : 154,383 = 154,383 : x
  2. Step 2: Convert to fraction form
    96,084/154,383 = 154,383/x
  3. Step 3: Cross multiply
    96,084x = 154,383 × 154,383
  4. Step 4: Simplify right side
    96,084x = 23,834,110,689
  5. Step 5: Solve for x
    x = 23,834,110,689/96,084
  6. Step 6: Final answer
    x = 248,054.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.