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Finding the Third Proportional to 96,063 and 154,347

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Solution

The third proportional to 96,063 and 154,347 is: 247,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,063 : 154,347 = 154,347 : x
  2. Step 2: Convert to fraction form
    96,063/154,347 = 154,347/x
  3. Step 3: Cross multiply
    96,063x = 154,347 × 154,347
  4. Step 4: Simplify right side
    96,063x = 23,822,996,409
  5. Step 5: Solve for x
    x = 23,822,996,409/96,063
  6. Step 6: Final answer
    x = 247,993.47

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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.