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Finding the Third Proportional to 97,110 and 146,353

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Solution

The third proportional to 97,110 and 146,353 is: 220,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,110 : 146,353 = 146,353 : x
  2. Step 2: Convert to fraction form
    97,110/146,353 = 146,353/x
  3. Step 3: Cross multiply
    97,110x = 146,353 × 146,353
  4. Step 4: Simplify right side
    97,110x = 21,419,200,609
  5. Step 5: Solve for x
    x = 21,419,200,609/97,110
  6. Step 6: Final answer
    x = 220,566.37

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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.