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Finding the Third Proportional to 98,162 and 156,091

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Solution

The third proportional to 98,162 and 156,091 is: 248,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,162 : 156,091 = 156,091 : x
  2. Step 2: Convert to fraction form
    98,162/156,091 = 156,091/x
  3. Step 3: Cross multiply
    98,162x = 156,091 × 156,091
  4. Step 4: Simplify right side
    98,162x = 24,364,400,281
  5. Step 5: Solve for x
    x = 24,364,400,281/98,162
  6. Step 6: Final answer
    x = 248,206.03

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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.