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Finding the Third Proportional to 97,244 and 145,965

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Solution

The third proportional to 97,244 and 145,965 is: 219,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,244 : 145,965 = 145,965 : x
  2. Step 2: Convert to fraction form
    97,244/145,965 = 145,965/x
  3. Step 3: Cross multiply
    97,244x = 145,965 × 145,965
  4. Step 4: Simplify right side
    97,244x = 21,305,781,225
  5. Step 5: Solve for x
    x = 21,305,781,225/97,244
  6. Step 6: Final answer
    x = 219,096.10

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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.