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Finding the Third Proportional to 97,172 and 149,910

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Solution

The third proportional to 97,172 and 149,910 is: 231,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,172 : 149,910 = 149,910 : x
  2. Step 2: Convert to fraction form
    97,172/149,910 = 149,910/x
  3. Step 3: Cross multiply
    97,172x = 149,910 × 149,910
  4. Step 4: Simplify right side
    97,172x = 22,473,008,100
  5. Step 5: Solve for x
    x = 22,473,008,100/97,172
  6. Step 6: Final answer
    x = 231,270.41

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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.