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Finding the Third Proportional to 96,540 and 145,458

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Solution

The third proportional to 96,540 and 145,458 is: 219,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 145,458 = 145,458 : x
  2. Step 2: Convert to fraction form
    96,540/145,458 = 145,458/x
  3. Step 3: Cross multiply
    96,540x = 145,458 × 145,458
  4. Step 4: Simplify right side
    96,540x = 21,158,029,764
  5. Step 5: Solve for x
    x = 21,158,029,764/96,540
  6. Step 6: Final answer
    x = 219,163.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.