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Finding the Third Proportional to 97,969 and 146,573

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Solution

The third proportional to 97,969 and 146,573 is: 219,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,969 : 146,573 = 146,573 : x
  2. Step 2: Convert to fraction form
    97,969/146,573 = 146,573/x
  3. Step 3: Cross multiply
    97,969x = 146,573 × 146,573
  4. Step 4: Simplify right side
    97,969x = 21,483,644,329
  5. Step 5: Solve for x
    x = 21,483,644,329/97,969
  6. Step 6: Final answer
    x = 219,290.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.