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Finding the Third Proportional to 98,225 and 148,161

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Solution

The third proportional to 98,225 and 148,161 is: 223,483.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,225 : 148,161 = 148,161 : x
  2. Step 2: Convert to fraction form
    98,225/148,161 = 148,161/x
  3. Step 3: Cross multiply
    98,225x = 148,161 × 148,161
  4. Step 4: Simplify right side
    98,225x = 21,951,681,921
  5. Step 5: Solve for x
    x = 21,951,681,921/98,225
  6. Step 6: Final answer
    x = 223,483.65

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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.