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Finding the Third Proportional to 97,006 and 149,830

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Solution

The third proportional to 97,006 and 149,830 is: 231,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,006 : 149,830 = 149,830 : x
  2. Step 2: Convert to fraction form
    97,006/149,830 = 149,830/x
  3. Step 3: Cross multiply
    97,006x = 149,830 × 149,830
  4. Step 4: Simplify right side
    97,006x = 22,449,028,900
  5. Step 5: Solve for x
    x = 22,449,028,900/97,006
  6. Step 6: Final answer
    x = 231,418.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.