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Finding the Third Proportional to 98,540 and 147,162

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Solution

The third proportional to 98,540 and 147,162 is: 219,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540 : 147,162 = 147,162 : x
  2. Step 2: Convert to fraction form
    98,540/147,162 = 147,162/x
  3. Step 3: Cross multiply
    98,540x = 147,162 × 147,162
  4. Step 4: Simplify right side
    98,540x = 21,656,654,244
  5. Step 5: Solve for x
    x = 21,656,654,244/98,540
  6. Step 6: Final answer
    x = 219,775.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.