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Finding the Third Proportional to 97,961 and 150,769

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Solution

The third proportional to 97,961 and 150,769 is: 232,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,961 : 150,769 = 150,769 : x
  2. Step 2: Convert to fraction form
    97,961/150,769 = 150,769/x
  3. Step 3: Cross multiply
    97,961x = 150,769 × 150,769
  4. Step 4: Simplify right side
    97,961x = 22,731,291,361
  5. Step 5: Solve for x
    x = 22,731,291,361/97,961
  6. Step 6: Final answer
    x = 232,044.30

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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.