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Finding the Third Proportional to 97,129 and 150,006

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Solution

The third proportional to 97,129 and 150,006 is: 231,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,129 : 150,006 = 150,006 : x
  2. Step 2: Convert to fraction form
    97,129/150,006 = 150,006/x
  3. Step 3: Cross multiply
    97,129x = 150,006 × 150,006
  4. Step 4: Simplify right side
    97,129x = 22,501,800,036
  5. Step 5: Solve for x
    x = 22,501,800,036/97,129
  6. Step 6: Final answer
    x = 231,669.22

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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.