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Finding the Third Proportional to 98,207 and 150,169

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Solution

The third proportional to 98,207 and 150,169 is: 229,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,207 : 150,169 = 150,169 : x
  2. Step 2: Convert to fraction form
    98,207/150,169 = 150,169/x
  3. Step 3: Cross multiply
    98,207x = 150,169 × 150,169
  4. Step 4: Simplify right side
    98,207x = 22,550,728,561
  5. Step 5: Solve for x
    x = 22,550,728,561/98,207
  6. Step 6: Final answer
    x = 229,624.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.