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Finding the Third Proportional to 96,768 and 154,080

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Solution

The third proportional to 96,768 and 154,080 is: 245,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768 : 154,080 = 154,080 : x
  2. Step 2: Convert to fraction form
    96,768/154,080 = 154,080/x
  3. Step 3: Cross multiply
    96,768x = 154,080 × 154,080
  4. Step 4: Simplify right side
    96,768x = 23,740,646,400
  5. Step 5: Solve for x
    x = 23,740,646,400/96,768
  6. Step 6: Final answer
    x = 245,335.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.